x*15-293=x*5-13

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Solution for x*15-293=x*5-13 equation:


Simplifying
x * 15 + -293 = x * 5 + -13

Reorder the terms for easier multiplication:
15x + -293 = x * 5 + -13

Reorder the terms:
-293 + 15x = x * 5 + -13

Reorder the terms for easier multiplication:
-293 + 15x = 5x + -13

Reorder the terms:
-293 + 15x = -13 + 5x

Solving
-293 + 15x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-293 + 15x + -5x = -13 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-293 + 10x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-293 + 10x = -13 + 0
-293 + 10x = -13

Add '293' to each side of the equation.
-293 + 293 + 10x = -13 + 293

Combine like terms: -293 + 293 = 0
0 + 10x = -13 + 293
10x = -13 + 293

Combine like terms: -13 + 293 = 280
10x = 280

Divide each side by '10'.
x = 28

Simplifying
x = 28

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