x*5+176=x*15-14

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Solution for x*5+176=x*15-14 equation:


Simplifying
x * 5 + 176 = x * 15 + -14

Reorder the terms for easier multiplication:
5x + 176 = x * 15 + -14

Reorder the terms:
176 + 5x = x * 15 + -14

Reorder the terms for easier multiplication:
176 + 5x = 15x + -14

Reorder the terms:
176 + 5x = -14 + 15x

Solving
176 + 5x = -14 + 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.
176 + 5x + -15x = -14 + 15x + -15x

Combine like terms: 5x + -15x = -10x
176 + -10x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
176 + -10x = -14 + 0
176 + -10x = -14

Add '-176' to each side of the equation.
176 + -176 + -10x = -14 + -176

Combine like terms: 176 + -176 = 0
0 + -10x = -14 + -176
-10x = -14 + -176

Combine like terms: -14 + -176 = -190
-10x = -190

Divide each side by '-10'.
x = 19

Simplifying
x = 19

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