117=13(2x-5)

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Solution for 117=13(2x-5) equation: 


Simplifying
117 = 13(2x + -5)

Reorder the terms:
117 = 13(-5 + 2x)
117 = (-5 * 13 + 2x * 13)
117 = (-65 + 26x)

Solving
117 = -65 + 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.
117 + -26x = -65 + 26x + -26x

Combine like terms: 26x + -26x = 0
117 + -26x = -65 + 0
117 + -26x = -65

Add '-117' to each side of the equation.
117 + -117 + -26x = -65 + -117

Combine like terms: 117 + -117 = 0
0 + -26x = -65 + -117
-26x = -65 + -117

Combine like terms: -65 + -117 = -182
-26x = -182

Divide each side by '-26'.
x = 7

Simplifying
x = 7

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