2x+3(-4x+2)=-64

Solution for 2x+3(-4x+2)=-64 equation:

Simplifying
2x + 3(-4x + 2) = -64

Reorder the terms:
2x + 3(2 + -4x) = -64
2x + (2 * 3 + -4x * 3) = -64
2x + (6 + -12x) = -64

Reorder the terms:
6 + 2x + -12x = -64

Combine like terms: 2x + -12x = -10x
6 + -10x = -64

Solving
6 + -10x = -64

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -10x = -64 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -64 + -6
-10x = -64 + -6

Combine like terms: -64 + -6 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7