(x+1)(x-2)-(4x-3)(3x+5)-6=8x-11(x-3)(x+7)

Simple and best practice solution for (x+1)(x-2)-(4x-3)(3x+5)-6=8x-11(x-3)(x+7) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x+1)(x-2)-(4x-3)(3x+5)-6=8x-11(x-3)(x+7) equation: 


Simplifying
(x + 1)(x + -2) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
(1 + x)(x + -2) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
(1 + x)(-2 + x) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Multiply (1 + x) * (-2 + x)
(1(-2 + x) + x(-2 + x)) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)
((-2 * 1 + x * 1) + x(-2 + x)) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)
((-2 + 1x) + x(-2 + x)) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)
(-2 + 1x + (-2 * x + x * x)) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)
(-2 + 1x + (-2x + x2)) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Combine like terms: 1x + -2x = -1x
(-2 + -1x + x2) + -1(4x + -3)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
-2 + -1x + x2 + -1(-3 + 4x)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
-2 + -1x + x2 + -1(-3 + 4x)(5 + 3x) + -6 = 8x + -11(x + -3)(x + 7)

Multiply (-3 + 4x) * (5 + 3x)
-2 + -1x + x2 + -1(-3(5 + 3x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + -1((5 * -3 + 3x * -3) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + -1((-15 + -9x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + -1(-15 + -9x + (5 * 4x + 3x * 4x)) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + -1(-15 + -9x + (20x + 12x2)) + -6 = 8x + -11(x + -3)(x + 7)

Combine like terms: -9x + 20x = 11x
-2 + -1x + x2 + -1(-15 + 11x + 12x2) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + (-15 * -1 + 11x * -1 + 12x2 * -1) + -6 = 8x + -11(x + -3)(x + 7)
-2 + -1x + x2 + (15 + -11x + -12x2) + -6 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
-2 + 15 + -6 + -1x + -11x + x2 + -12x2 = 8x + -11(x + -3)(x + 7)

Combine like terms: -2 + 15 = 13
13 + -6 + -1x + -11x + x2 + -12x2 = 8x + -11(x + -3)(x + 7)

Combine like terms: 13 + -6 = 7
7 + -1x + -11x + x2 + -12x2 = 8x + -11(x + -3)(x + 7)

Combine like terms: -1x + -11x = -12x
7 + -12x + x2 + -12x2 = 8x + -11(x + -3)(x + 7)

Combine like terms: x2 + -12x2 = -11x2
7 + -12x + -11x2 = 8x + -11(x + -3)(x + 7)

Reorder the terms:
7 + -12x + -11x2 = 8x + -11(-3 + x)(x + 7)

Reorder the terms:
7 + -12x + -11x2 = 8x + -11(-3 + x)(7 + x)

Multiply (-3 + x) * (7 + x)
7 + -12x + -11x2 = 8x + -11(-3(7 + x) + x(7 + x))
7 + -12x + -11x2 = 8x + -11((7 * -3 + x * -3) + x(7 + x))
7 + -12x + -11x2 = 8x + -11((-21 + -3x) + x(7 + x))
7 + -12x + -11x2 = 8x + -11(-21 + -3x + (7 * x + x * x))
7 + -12x + -11x2 = 8x + -11(-21 + -3x + (7x + x2))

Combine like terms: -3x + 7x = 4x
7 + -12x + -11x2 = 8x + -11(-21 + 4x + x2)
7 + -12x + -11x2 = 8x + (-21 * -11 + 4x * -11 + x2 * -11)
7 + -12x + -11x2 = 8x + (231 + -44x + -11x2)

Reorder the terms:
7 + -12x + -11x2 = 231 + 8x + -44x + -11x2

Combine like terms: 8x + -44x = -36x
7 + -12x + -11x2 = 231 + -36x + -11x2

Add '11x2' to each side of the equation.
7 + -12x + -11x2 + 11x2 = 231 + -36x + -11x2 + 11x2

Combine like terms: -11x2 + 11x2 = 0
7 + -12x + 0 = 231 + -36x + -11x2 + 11x2
7 + -12x = 231 + -36x + -11x2 + 11x2

Combine like terms: -11x2 + 11x2 = 0
7 + -12x = 231 + -36x + 0
7 + -12x = 231 + -36x

Solving
7 + -12x = 231 + -36x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '36x' to each side of the equation.
7 + -12x + 36x = 231 + -36x + 36x

Combine like terms: -12x + 36x = 24x
7 + 24x = 231 + -36x + 36x

Combine like terms: -36x + 36x = 0
7 + 24x = 231 + 0
7 + 24x = 231

Add '-7' to each side of the equation.
7 + -7 + 24x = 231 + -7

Combine like terms: 7 + -7 = 0
0 + 24x = 231 + -7
24x = 231 + -7

Combine like terms: 231 + -7 = 224
24x = 224

Divide each side by '24'.
x = 9.333333333

Simplifying
x = 9.333333333

See similar equations:

| -5a+6+9a=4a-2a | | 4y-8=5x+35 | | 14x6/6 | | 2/3y+16=20 | | x^2-2x-44=4 | | 43x^2+3x=0 | | 4r^2-25r+20=0 | | 8v^2+5v-4=v^2+7v+7 | | R/36 | | X=46+2x | | 3(2p-5)=3 | | (4z+2)(3z+9)= | | .35n=35.0p | | 4cos(x)-sin^2(x)-1=0 | | 5=15y | | T=M(9+FG) | | (2x-y)-24i=8+4yi | | m-54=3+78 | | 5x+5=-6x-2 | | 6.7k+1=5.7 | | 3+8x=9x-2 | | R^3=-25/1600 | | 9t-21=3(x-7)6+t | | 144=3.14x^2*158 | | 6x^2-18x/9x^2-27x | | 6x=25+9 | | -6x+128=5x-125 | | X=46+.285x | | 3(3+k)= | | 4x^2+5x-2=0findx | | x^2+12x+2=-9 | | p-1=2p^2-3p+5 |

Equations solver categories