(3x-1)(2x+6)-(2x-2)(3x+1)=24

Simple and best practice solution for (3x-1)(2x+6)-(2x-2)(3x+1)=24 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 (3x-1)(2x+6)-(2x-2)(3x+1)=24 equation: 


Simplifying
(3x + -1)(2x + 6) + -1(2x + -2)(3x + 1) = 24

Reorder the terms:
(-1 + 3x)(2x + 6) + -1(2x + -2)(3x + 1) = 24

Reorder the terms:
(-1 + 3x)(6 + 2x) + -1(2x + -2)(3x + 1) = 24

Multiply (-1 + 3x) * (6 + 2x)
(-1(6 + 2x) + 3x * (6 + 2x)) + -1(2x + -2)(3x + 1) = 24
((6 * -1 + 2x * -1) + 3x * (6 + 2x)) + -1(2x + -2)(3x + 1) = 24
((-6 + -2x) + 3x * (6 + 2x)) + -1(2x + -2)(3x + 1) = 24
(-6 + -2x + (6 * 3x + 2x * 3x)) + -1(2x + -2)(3x + 1) = 24
(-6 + -2x + (18x + 6x2)) + -1(2x + -2)(3x + 1) = 24

Combine like terms: -2x + 18x = 16x
(-6 + 16x + 6x2) + -1(2x + -2)(3x + 1) = 24

Reorder the terms:
-6 + 16x + 6x2 + -1(-2 + 2x)(3x + 1) = 24

Reorder the terms:
-6 + 16x + 6x2 + -1(-2 + 2x)(1 + 3x) = 24

Multiply (-2 + 2x) * (1 + 3x)
-6 + 16x + 6x2 + -1(-2(1 + 3x) + 2x * (1 + 3x)) = 24
-6 + 16x + 6x2 + -1((1 * -2 + 3x * -2) + 2x * (1 + 3x)) = 24
-6 + 16x + 6x2 + -1((-2 + -6x) + 2x * (1 + 3x)) = 24
-6 + 16x + 6x2 + -1(-2 + -6x + (1 * 2x + 3x * 2x)) = 24
-6 + 16x + 6x2 + -1(-2 + -6x + (2x + 6x2)) = 24

Combine like terms: -6x + 2x = -4x
-6 + 16x + 6x2 + -1(-2 + -4x + 6x2) = 24
-6 + 16x + 6x2 + (-2 * -1 + -4x * -1 + 6x2 * -1) = 24
-6 + 16x + 6x2 + (2 + 4x + -6x2) = 24

Reorder the terms:
-6 + 2 + 16x + 4x + 6x2 + -6x2 = 24

Combine like terms: -6 + 2 = -4
-4 + 16x + 4x + 6x2 + -6x2 = 24

Combine like terms: 16x + 4x = 20x
-4 + 20x + 6x2 + -6x2 = 24

Combine like terms: 6x2 + -6x2 = 0
-4 + 20x + 0 = 24
-4 + 20x = 24

Solving
-4 + 20x = 24

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 20x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 20x = 24 + 4
20x = 24 + 4

Combine like terms: 24 + 4 = 28
20x = 28

Divide each side by '20'.
x = 1.4

Simplifying
x = 1.4

See similar equations:

| cos^2(x)+5cos=0 | | (3x-5)5x+(3x-5)7=0 | | 0.5(4x+2)=8 | | 1/4x+x/4=x/2 | | 7(v-3)=5(v-7) | | x+z=5 | | 3s+2t=15 | | n=8+(-12) | | 7w+46=4(w+4) | | 4x+1a=-3 | | 2(2d-4)=4(2d-7) | | 7x+7=2(x-8) | | .5n+4=-1.5n-18 | | 11s+6t=43 | | 7n^9*6n^6= | | x/2-5/2-x/5-3/5=1/2 | | -x^2+4x=x-4 | | 37700=x*40000 | | 2x^2=-x-5x-1 | | Log*x-log*9=3 | | 10(s-9)=-141 | | f(x)=5x^2+4x+1whenf(x-1) | | f(x)=5x^2+4x+1f(x-1) | | (3r+1)-10=-45 | | 2x+10+x+x-20+x+40=360 | | f(x)=5x^2+4x+1 | | (17v-4)=59 | | (2v+7)(1-v)=0 | | 5y+3(2y+1)=0 | | 6(1+2k)=6k+13 | | 4(w+4)=-8w-8 | | 4-6.2= |

Equations solver categories