-3(-2+4x)=2(1-7x)

Solution for -3(-2+4x)=2(1-7x) equation:

Simplifying
-3(-2 + 4x) = 2(1 + -7x)
(-2 * -3 + 4x * -3) = 2(1 + -7x)
(6 + -12x) = 2(1 + -7x)
6 + -12x = (1 * 2 + -7x * 2)
6 + -12x = (2 + -14x)

Solving
6 + -12x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
6 + -12x + 14x = 2 + -14x + 14x

Combine like terms: -12x + 14x = 2x
6 + 2x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
6 + 2x = 2 + 0
6 + 2x = 2

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

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

Combine like terms: 2 + -6 = -4
2x = -4

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

Simplifying
x = -2