2x-(7x-8)=6-3(6-x)

Simple and best practice solution for 2x-(7x-8)=6-3(6-x) 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-(7x-8)=6-3(6-x) equation:


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

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

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

Combine like terms: 2x + -7x = -5x
8 + -5x = 6 + -3(6 + -1x)
8 + -5x = 6 + (6 * -3 + -1x * -3)
8 + -5x = 6 + (-18 + 3x)

Combine like terms: 6 + -18 = -12
8 + -5x = -12 + 3x

Solving
8 + -5x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -5x + -3x = -12 + 3x + -3x

Combine like terms: -5x + -3x = -8x
8 + -8x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -8x = -12 + 0
8 + -8x = -12

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

Combine like terms: 8 + -8 = 0
0 + -8x = -12 + -8
-8x = -12 + -8

Combine like terms: -12 + -8 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

See similar equations:

| 2x-5y+16=0 | | 3x^2-4x-x=0 | | 9s+30=147 | | 3m+7=4m-14 | | 3?1000= | | X(7x-3x)+4=28 | | (3x-1.2)=(2x+1.8) | | 14l+21=147 | | -x+9=-2 | | 5(x-4)=(x-6) | | 3x+4-x=5x-5 | | 4a-20=40 | | Y-7=-3x+-2 | | 6(3+3x)=108 | | 7u-28=63 | | 2+2(k+1)=3k+6 | | 4b+7=5b+12 | | 3x+2(2x-4)=13 | | 4u-28=63 | | 4b+7=5b*12 | | 3x+66=5x+20 | | 8/11*N-10=64 | | 6x+3-x=48 | | 11x=10x-6 | | 2x-3(3x-10)=14 | | 5q-35=35 | | 4d+4-d=34 | | x+3/4x=21 | | 7=5/9x | | 6a-5=13-3a | | (-2.66)+x=-0.8 | | 24+6e=48 |

Equations solver categories