6(1+3x)=-8(-2x+5)-4

Solution for 6(1+3x)=-8(-2x+5)-4 equation:

Simplifying
6(1 + 3x) = -8(-2x + 5) + -4
(1 * 6 + 3x * 6) = -8(-2x + 5) + -4
(6 + 18x) = -8(-2x + 5) + -4

Reorder the terms:
6 + 18x = -8(5 + -2x) + -4
6 + 18x = (5 * -8 + -2x * -8) + -4
6 + 18x = (-40 + 16x) + -4

Reorder the terms:
6 + 18x = -40 + -4 + 16x

Combine like terms: -40 + -4 = -44
6 + 18x = -44 + 16x

Solving
6 + 18x = -44 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + 18x + -16x = -44 + 16x + -16x

Combine like terms: 18x + -16x = 2x
6 + 2x = -44 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + 2x = -44 + 0
6 + 2x = -44

Add '-6' to each side of the equation.
6 + -6 + 2x = -44 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -44 + -6
2x = -44 + -6

Combine like terms: -44 + -6 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25