13-3[5-7(6+8x)]=6(4+3x)

Solution for 13-3[5-7(6+8x)]=6(4+3x) equation:

Simplifying
13 + -3[5 + -7(6 + 8x)] = 6(4 + 3x)
13 + -3[5 + (6 * -7 + 8x * -7)] = 6(4 + 3x)
13 + -3[5 + (-42 + -56x)] = 6(4 + 3x)

Combine like terms: 5 + -42 = -37
13 + -3[-37 + -56x] = 6(4 + 3x)
13 + [-37 * -3 + -56x * -3] = 6(4 + 3x)
13 + [111 + 168x] = 6(4 + 3x)

Combine like terms: 13 + 111 = 124
124 + 168x = 6(4 + 3x)
124 + 168x = (4 * 6 + 3x * 6)
124 + 168x = (24 + 18x)

Solving
124 + 168x = 24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
124 + 168x + -18x = 24 + 18x + -18x

Combine like terms: 168x + -18x = 150x
124 + 150x = 24 + 18x + -18x

Combine like terms: 18x + -18x = 0
124 + 150x = 24 + 0
124 + 150x = 24

Add '-124' to each side of the equation.
124 + -124 + 150x = 24 + -124

Combine like terms: 124 + -124 = 0
0 + 150x = 24 + -124
150x = 24 + -124

Combine like terms: 24 + -124 = -100
150x = -100

Divide each side by '150'.
x = -0.6666666667

Simplifying
x = -0.6666666667