8x-(6x+6)=3x-17

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Solution for 8x-(6x+6)=3x-17 equation:


Simplifying
8x + -1(6x + 6) = 3x + -17

Reorder the terms:
8x + -1(6 + 6x) = 3x + -17
8x + (6 * -1 + 6x * -1) = 3x + -17
8x + (-6 + -6x) = 3x + -17

Reorder the terms:
-6 + 8x + -6x = 3x + -17

Combine like terms: 8x + -6x = 2x
-6 + 2x = 3x + -17

Reorder the terms:
-6 + 2x = -17 + 3x

Solving
-6 + 2x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -17 + 0
-6 + -1x = -17

Add '6' to each side of the equation.
-6 + 6 + -1x = -17 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -17 + 6
-1x = -17 + 6

Combine like terms: -17 + 6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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