x*6+115=x*15-11

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Solution for x*6+115=x*15-11 equation:


Simplifying
x * 6 + 115 = x * 15 + -11

Reorder the terms for easier multiplication:
6x + 115 = x * 15 + -11

Reorder the terms:
115 + 6x = x * 15 + -11

Reorder the terms for easier multiplication:
115 + 6x = 15x + -11

Reorder the terms:
115 + 6x = -11 + 15x

Solving
115 + 6x = -11 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
115 + 6x + -15x = -11 + 15x + -15x

Combine like terms: 6x + -15x = -9x
115 + -9x = -11 + 15x + -15x

Combine like terms: 15x + -15x = 0
115 + -9x = -11 + 0
115 + -9x = -11

Add '-115' to each side of the equation.
115 + -115 + -9x = -11 + -115

Combine like terms: 115 + -115 = 0
0 + -9x = -11 + -115
-9x = -11 + -115

Combine like terms: -11 + -115 = -126
-9x = -126

Divide each side by '-9'.
x = 14

Simplifying
x = 14

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