9x-(6x-6)=8x-36

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Solution for 9x-(6x-6)=8x-36 equation:


Simplifying
9x + -1(6x + -6) = 8x + -36

Reorder the terms:
9x + -1(-6 + 6x) = 8x + -36
9x + (-6 * -1 + 6x * -1) = 8x + -36
9x + (6 + -6x) = 8x + -36

Reorder the terms:
6 + 9x + -6x = 8x + -36

Combine like terms: 9x + -6x = 3x
6 + 3x = 8x + -36

Reorder the terms:
6 + 3x = -36 + 8x

Solving
6 + 3x = -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 + 3x + -8x = -36 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -36 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -36 + 0
6 + -5x = -36

Add '-6' to each side of the equation.
6 + -6 + -5x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -36 + -6
-5x = -36 + -6

Combine like terms: -36 + -6 = -42
-5x = -42

Divide each side by '-5'.
x = 8.4

Simplifying
x = 8.4

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