2(4x-3)=2(-4x+3)-42

Solution for 2(4x-3)=2(-4x+3)-42 equation:

Simplifying
2(4x + -3) = 2(-4x + 3) + -42

Reorder the terms:
2(-3 + 4x) = 2(-4x + 3) + -42
(-3 * 2 + 4x * 2) = 2(-4x + 3) + -42
(-6 + 8x) = 2(-4x + 3) + -42

Reorder the terms:
-6 + 8x = 2(3 + -4x) + -42
-6 + 8x = (3 * 2 + -4x * 2) + -42
-6 + 8x = (6 + -8x) + -42

Reorder the terms:
-6 + 8x = 6 + -42 + -8x

Combine like terms: 6 + -42 = -36
-6 + 8x = -36 + -8x

Solving
-6 + 8x = -36 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 8x + 8x = -36 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-6 + 16x = -36 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 16x = -36 + 0
-6 + 16x = -36

Add '6' to each side of the equation.
-6 + 6 + 16x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = -36 + 6
16x = -36 + 6

Combine like terms: -36 + 6 = -30
16x = -30

Divide each side by '16'.
x = -1.875

Simplifying
x = -1.875