17x-6=4(4x+2)-2

Solution for 17x-6=4(4x+2)-2 equation:

Simplifying
17x + -6 = 4(4x + 2) + -2

Reorder the terms:
-6 + 17x = 4(4x + 2) + -2

Reorder the terms:
-6 + 17x = 4(2 + 4x) + -2
-6 + 17x = (2 * 4 + 4x * 4) + -2
-6 + 17x = (8 + 16x) + -2

Reorder the terms:
-6 + 17x = 8 + -2 + 16x

Combine like terms: 8 + -2 = 6
-6 + 17x = 6 + 16x

Solving
-6 + 17x = 6 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + 17x + -16x = 6 + 16x + -16x

Combine like terms: 17x + -16x = 1x
-6 + 1x = 6 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

Add '6' to each side of the equation.
-6 + 6 + 1x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 6 + 6
1x = 6 + 6

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12