13-[4+2(x-1)]=3(x+2)

Solution for 13-[4+2(x-1)]=3(x+2) equation:

Simplifying
13 + -1[4 + 2(x + -1)] = 3(x + 2)

Reorder the terms:
13 + -1[4 + 2(-1 + x)] = 3(x + 2)
13 + -1[4 + (-1 * 2 + x * 2)] = 3(x + 2)
13 + -1[4 + (-2 + 2x)] = 3(x + 2)

Combine like terms: 4 + -2 = 2
13 + -1[2 + 2x] = 3(x + 2)
13 + [2 * -1 + 2x * -1] = 3(x + 2)
13 + [-2 + -2x] = 3(x + 2)

Combine like terms: 13 + -2 = 11
11 + -2x = 3(x + 2)

Reorder the terms:
11 + -2x = 3(2 + x)
11 + -2x = (2 * 3 + x * 3)
11 + -2x = (6 + 3x)

Solving
11 + -2x = 6 + 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.
11 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
11 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -5x = 6 + 0
11 + -5x = 6

Add '-11' to each side of the equation.
11 + -11 + -5x = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 6 + -11
-5x = 6 + -11

Combine like terms: 6 + -11 = -5
-5x = -5

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

Simplifying
x = 1