22-14(x-13)=9x-72

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Solution for 22-14(x-13)=9x-72 equation:


Simplifying
22 + -14(x + -13) = 9x + -72

Reorder the terms:
22 + -14(-13 + x) = 9x + -72
22 + (-13 * -14 + x * -14) = 9x + -72
22 + (182 + -14x) = 9x + -72

Combine like terms: 22 + 182 = 204
204 + -14x = 9x + -72

Reorder the terms:
204 + -14x = -72 + 9x

Solving
204 + -14x = -72 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
204 + -14x + -9x = -72 + 9x + -9x

Combine like terms: -14x + -9x = -23x
204 + -23x = -72 + 9x + -9x

Combine like terms: 9x + -9x = 0
204 + -23x = -72 + 0
204 + -23x = -72

Add '-204' to each side of the equation.
204 + -204 + -23x = -72 + -204

Combine like terms: 204 + -204 = 0
0 + -23x = -72 + -204
-23x = -72 + -204

Combine like terms: -72 + -204 = -276
-23x = -276

Divide each side by '-23'.
x = 12

Simplifying
x = 12

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