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

Solution for 2x-3(x+1)=-(7x+8)+x equation:

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

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

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

Combine like terms: 2x + -3x = -1x
-3 + -1x = -1(7x + 8) + x

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

Combine like terms: -7x + x = -6x
-3 + -1x = -8 + -6x

Solving
-3 + -1x = -8 + -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.
-3 + -1x + 6x = -8 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-3 + 5x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 5x = -8 + 0
-3 + 5x = -8

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

Combine like terms: -3 + 3 = 0
0 + 5x = -8 + 3
5x = -8 + 3

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

Divide each side by '5'.
x = -1

Simplifying
x = -1