4(2x-3)=-2(3x-8)

Simple and best practice solution for 4(2x-3)=-2(3x-8) 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 4(2x-3)=-2(3x-8) equation:


Simplifying
4(2x + -3) = -2(3x + -8)

Reorder the terms:
4(-3 + 2x) = -2(3x + -8)
(-3 * 4 + 2x * 4) = -2(3x + -8)
(-12 + 8x) = -2(3x + -8)

Reorder the terms:
-12 + 8x = -2(-8 + 3x)
-12 + 8x = (-8 * -2 + 3x * -2)
-12 + 8x = (16 + -6x)

Solving
-12 + 8x = 16 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-12 + 8x + 6x = 16 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-12 + 14x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 14x = 16 + 0
-12 + 14x = 16

Add '12' to each side of the equation.
-12 + 12 + 14x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 16 + 12
14x = 16 + 12

Combine like terms: 16 + 12 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

See similar equations:

| 22-a+5a-3=5-3a | | 7a-8=5a+12 | | 2m+8+3m-3=5 | | 5x-4=11+2x | | 5x-3= | | n-24=9 | | 15=y-7 | | 3=x-16 | | p-8=9 | | -7(2b-4)=5(-2b+6) | | 6(-3v+1)=5(-2v-2) | | 3(5j+2)=2(3j-6) | | 2(8m-7)=16m-14 | | -9+8k=7+4k | | 5+3r=5r-19 | | -6y-3=3-6y | | -5x-40=4-x | | 12a+5=6(2a+12) | | 4x-11=-5 | | 4x-9=7x+12 | | 4n-12=12-4n | | 9+4y=2(3-4) | | 3(2y-5)=4y-7 | | 7a-3=3-2a | | 1.7+3= | | 18=11+7x-7 | | 2h-8=h+17 | | 2m+12=3m-31 | | 6=2x+5 | | 0.4m-0.7=0.22 | | -5(1+4x)+5x=85 | | 2.5g+0.45=0.95 |

Equations solver categories