13(x-6)=2x-115

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Solution for 13(x-6)=2x-115 equation:


Simplifying
13(x + -6) = 2x + -115

Reorder the terms:
13(-6 + x) = 2x + -115
(-6 * 13 + x * 13) = 2x + -115
(-78 + 13x) = 2x + -115

Reorder the terms:
-78 + 13x = -115 + 2x

Solving
-78 + 13x = -115 + 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.
-78 + 13x + -2x = -115 + 2x + -2x

Combine like terms: 13x + -2x = 11x
-78 + 11x = -115 + 2x + -2x

Combine like terms: 2x + -2x = 0
-78 + 11x = -115 + 0
-78 + 11x = -115

Add '78' to each side of the equation.
-78 + 78 + 11x = -115 + 78

Combine like terms: -78 + 78 = 0
0 + 11x = -115 + 78
11x = -115 + 78

Combine like terms: -115 + 78 = -37
11x = -37

Divide each side by '11'.
x = -3.363636364

Simplifying
x = -3.363636364

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