-9(x-6)=2x-23

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Solution for -9(x-6)=2x-23 equation:


Simplifying
-9(x + -6) = 2x + -23

Reorder the terms:
-9(-6 + x) = 2x + -23
(-6 * -9 + x * -9) = 2x + -23
(54 + -9x) = 2x + -23

Reorder the terms:
54 + -9x = -23 + 2x

Solving
54 + -9x = -23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
54 + -9x + -2x = -23 + 2x + -2x

Combine like terms: -9x + -2x = -11x
54 + -11x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
54 + -11x = -23 + 0
54 + -11x = -23

Add '-54' to each side of the equation.
54 + -54 + -11x = -23 + -54

Combine like terms: 54 + -54 = 0
0 + -11x = -23 + -54
-11x = -23 + -54

Combine like terms: -23 + -54 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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