3(x+1)-5x=12-(6-7)

Solution for 3(x+1)-5x=12-(6-7) equation:

Simplifying
3(x + 1) + -5x = 12 + -1(6 + -7)

Reorder the terms:
3(1 + x) + -5x = 12 + -1(6 + -7)
(1 * 3 + x * 3) + -5x = 12 + -1(6 + -7)
(3 + 3x) + -5x = 12 + -1(6 + -7)

Combine like terms: 3x + -5x = -2x
3 + -2x = 12 + -1(6 + -7)

Combine like terms: 6 + -7 = -1
3 + -2x = 12 + -1(-1)

Multiply -1 * -1
3 + -2x = 12 + 1

Combine like terms: 12 + 1 = 13
3 + -2x = 13

Solving
3 + -2x = 13

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 13 + -3
-2x = 13 + -3

Combine like terms: 13 + -3 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5