4x+34=2(4x-4)+6

Solution for 4x+34=2(4x-4)+6 equation:

Simplifying
4x + 34 = 2(4x + -4) + 6

Reorder the terms:
34 + 4x = 2(4x + -4) + 6

Reorder the terms:
34 + 4x = 2(-4 + 4x) + 6
34 + 4x = (-4 * 2 + 4x * 2) + 6
34 + 4x = (-8 + 8x) + 6

Reorder the terms:
34 + 4x = -8 + 6 + 8x

Combine like terms: -8 + 6 = -2
34 + 4x = -2 + 8x

Solving
34 + 4x = -2 + 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.
34 + 4x + -8x = -2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
34 + -4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + -4x = -2 + 0
34 + -4x = -2

Add '-34' to each side of the equation.
34 + -34 + -4x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -4x = -2 + -34
-4x = -2 + -34

Combine like terms: -2 + -34 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9