(2x+1)(x-3)-(1-x)(x-5)=29-11x

Simple and best practice solution for (2x+1)(x-3)-(1-x)(x-5)=29-11x 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 (2x+1)(x-3)-(1-x)(x-5)=29-11x equation: 


Simplifying
(2x + 1)(x + -3) + -1(1 + -1x)(x + -5) = 29 + -11x

Reorder the terms:
(1 + 2x)(x + -3) + -1(1 + -1x)(x + -5) = 29 + -11x

Reorder the terms:
(1 + 2x)(-3 + x) + -1(1 + -1x)(x + -5) = 29 + -11x

Multiply (1 + 2x) * (-3 + x)
(1(-3 + x) + 2x * (-3 + x)) + -1(1 + -1x)(x + -5) = 29 + -11x
((-3 * 1 + x * 1) + 2x * (-3 + x)) + -1(1 + -1x)(x + -5) = 29 + -11x
((-3 + 1x) + 2x * (-3 + x)) + -1(1 + -1x)(x + -5) = 29 + -11x
(-3 + 1x + (-3 * 2x + x * 2x)) + -1(1 + -1x)(x + -5) = 29 + -11x
(-3 + 1x + (-6x + 2x2)) + -1(1 + -1x)(x + -5) = 29 + -11x

Combine like terms: 1x + -6x = -5x
(-3 + -5x + 2x2) + -1(1 + -1x)(x + -5) = 29 + -11x

Reorder the terms:
-3 + -5x + 2x2 + -1(1 + -1x)(-5 + x) = 29 + -11x

Multiply (1 + -1x) * (-5 + x)
-3 + -5x + 2x2 + -1(1(-5 + x) + -1x * (-5 + x)) = 29 + -11x
-3 + -5x + 2x2 + -1((-5 * 1 + x * 1) + -1x * (-5 + x)) = 29 + -11x
-3 + -5x + 2x2 + -1((-5 + 1x) + -1x * (-5 + x)) = 29 + -11x
-3 + -5x + 2x2 + -1(-5 + 1x + (-5 * -1x + x * -1x)) = 29 + -11x
-3 + -5x + 2x2 + -1(-5 + 1x + (5x + -1x2)) = 29 + -11x

Combine like terms: 1x + 5x = 6x
-3 + -5x + 2x2 + -1(-5 + 6x + -1x2) = 29 + -11x
-3 + -5x + 2x2 + (-5 * -1 + 6x * -1 + -1x2 * -1) = 29 + -11x
-3 + -5x + 2x2 + (5 + -6x + 1x2) = 29 + -11x

Reorder the terms:
-3 + 5 + -5x + -6x + 2x2 + 1x2 = 29 + -11x

Combine like terms: -3 + 5 = 2
2 + -5x + -6x + 2x2 + 1x2 = 29 + -11x

Combine like terms: -5x + -6x = -11x
2 + -11x + 2x2 + 1x2 = 29 + -11x

Combine like terms: 2x2 + 1x2 = 3x2
2 + -11x + 3x2 = 29 + -11x

Add '11x' to each side of the equation.
2 + -11x + 11x + 3x2 = 29 + -11x + 11x

Combine like terms: -11x + 11x = 0
2 + 0 + 3x2 = 29 + -11x + 11x
2 + 3x2 = 29 + -11x + 11x

Combine like terms: -11x + 11x = 0
2 + 3x2 = 29 + 0
2 + 3x2 = 29

Solving
2 + 3x2 = 29

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 3x2 = 29 + -2

Combine like terms: 2 + -2 = 0
0 + 3x2 = 29 + -2
3x2 = 29 + -2

Combine like terms: 29 + -2 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

See similar equations:

| K=60+35(x-1) | | (2x^2)-4xy-(y^2)+8=0 | | 81-t^2= | | q^2+q-56= | | m^2-30m+81= | | 16x^3-12x=5 | | t^2-18-63= | | 2d-9=5d-3(3d+2) | | m^2-20m-44= | | 4x+5=3x-16 | | f(x)=2x^3-16x | | 19(q)=5 | | j^2-19j+38= | | j^2-19y+38= | | 8(2w-2)=7(3w+5) | | 20c+19=739 | | b^2+35b+96= | | 2x-7=0.33333333x-2 | | k^2+11k+24= | | 2x-7=.3-2 | | 23-3h=20 | | 3x-10=-3x+26 | | 3x^2+10=25 | | 11x+16=4x+51 | | -2x+21=11 | | 6+9u=96 | | 2x+21=4x+11 | | 24-2p=4 | | 20-2u=10 | | 9x^2-9y=144 | | 17-2y=5 | | 18-4h=6 |

Equations solver categories