5(x-3)-12=31x-261

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Solution for 5(x-3)-12=31x-261 equation:


Simplifying
5(x + -3) + -12 = 31x + -261

Reorder the terms:
5(-3 + x) + -12 = 31x + -261
(-3 * 5 + x * 5) + -12 = 31x + -261
(-15 + 5x) + -12 = 31x + -261

Reorder the terms:
-15 + -12 + 5x = 31x + -261

Combine like terms: -15 + -12 = -27
-27 + 5x = 31x + -261

Reorder the terms:
-27 + 5x = -261 + 31x

Solving
-27 + 5x = -261 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
-27 + 5x + -31x = -261 + 31x + -31x

Combine like terms: 5x + -31x = -26x
-27 + -26x = -261 + 31x + -31x

Combine like terms: 31x + -31x = 0
-27 + -26x = -261 + 0
-27 + -26x = -261

Add '27' to each side of the equation.
-27 + 27 + -26x = -261 + 27

Combine like terms: -27 + 27 = 0
0 + -26x = -261 + 27
-26x = -261 + 27

Combine like terms: -261 + 27 = -234
-26x = -234

Divide each side by '-26'.
x = 9

Simplifying
x = 9

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