3(2+4x)=2(-3+2x)-52

Solution for 3(2+4x)=2(-3+2x)-52 equation:

Simplifying
3(2 + 4x) = 2(-3 + 2x) + -52
(2 * 3 + 4x * 3) = 2(-3 + 2x) + -52
(6 + 12x) = 2(-3 + 2x) + -52
6 + 12x = (-3 * 2 + 2x * 2) + -52
6 + 12x = (-6 + 4x) + -52

Reorder the terms:
6 + 12x = -6 + -52 + 4x

Combine like terms: -6 + -52 = -58
6 + 12x = -58 + 4x

Solving
6 + 12x = -58 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 12x + -4x = -58 + 4x + -4x

Combine like terms: 12x + -4x = 8x
6 + 8x = -58 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 8x = -58 + 0
6 + 8x = -58

Add '-6' to each side of the equation.
6 + -6 + 8x = -58 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -58 + -6
8x = -58 + -6

Combine like terms: -58 + -6 = -64
8x = -64

Divide each side by '8'.
x = -8

Simplifying
x = -8