3(x-12)-12=26x-117

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Solution for 3(x-12)-12=26x-117 equation:


Simplifying
3(x + -12) + -12 = 26x + -117

Reorder the terms:
3(-12 + x) + -12 = 26x + -117
(-12 * 3 + x * 3) + -12 = 26x + -117
(-36 + 3x) + -12 = 26x + -117

Reorder the terms:
-36 + -12 + 3x = 26x + -117

Combine like terms: -36 + -12 = -48
-48 + 3x = 26x + -117

Reorder the terms:
-48 + 3x = -117 + 26x

Solving
-48 + 3x = -117 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-48 + 3x + -26x = -117 + 26x + -26x

Combine like terms: 3x + -26x = -23x
-48 + -23x = -117 + 26x + -26x

Combine like terms: 26x + -26x = 0
-48 + -23x = -117 + 0
-48 + -23x = -117

Add '48' to each side of the equation.
-48 + 48 + -23x = -117 + 48

Combine like terms: -48 + 48 = 0
0 + -23x = -117 + 48
-23x = -117 + 48

Combine like terms: -117 + 48 = -69
-23x = -69

Divide each side by '-23'.
x = 3

Simplifying
x = 3

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