2(x+3)=5(x-1)-7(x-1)

Solution for 2(x+3)=5(x-1)-7(x-1) equation:

Simplifying
2(x + 3) = 5(x + -1) + -7(x + -1)

Reorder the terms:
2(3 + x) = 5(x + -1) + -7(x + -1)
(3 * 2 + x * 2) = 5(x + -1) + -7(x + -1)
(6 + 2x) = 5(x + -1) + -7(x + -1)

Reorder the terms:
6 + 2x = 5(-1 + x) + -7(x + -1)
6 + 2x = (-1 * 5 + x * 5) + -7(x + -1)
6 + 2x = (-5 + 5x) + -7(x + -1)

Reorder the terms:
6 + 2x = -5 + 5x + -7(-1 + x)
6 + 2x = -5 + 5x + (-1 * -7 + x * -7)
6 + 2x = -5 + 5x + (7 + -7x)

Reorder the terms:
6 + 2x = -5 + 7 + 5x + -7x

Combine like terms: -5 + 7 = 2
6 + 2x = 2 + 5x + -7x

Combine like terms: 5x + -7x = -2x
6 + 2x = 2 + -2x

Solving
6 + 2x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 2x + 2x = 2 + -2x + 2x

Combine like terms: 2x + 2x = 4x
6 + 4x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = 2 + 0
6 + 4x = 2

Add '-6' to each side of the equation.
6 + -6 + 4x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 2 + -6
4x = 2 + -6

Combine like terms: 2 + -6 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1