x*5+250=x*15-10

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Solution for x*5+250=x*15-10 equation:


Simplifying
x * 5 + 250 = x * 15 + -10

Reorder the terms for easier multiplication:
5x + 250 = x * 15 + -10

Reorder the terms:
250 + 5x = x * 15 + -10

Reorder the terms for easier multiplication:
250 + 5x = 15x + -10

Reorder the terms:
250 + 5x = -10 + 15x

Solving
250 + 5x = -10 + 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.
250 + 5x + -15x = -10 + 15x + -15x

Combine like terms: 5x + -15x = -10x
250 + -10x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
250 + -10x = -10 + 0
250 + -10x = -10

Add '-250' to each side of the equation.
250 + -250 + -10x = -10 + -250

Combine like terms: 250 + -250 = 0
0 + -10x = -10 + -250
-10x = -10 + -250

Combine like terms: -10 + -250 = -260
-10x = -260

Divide each side by '-10'.
x = 26

Simplifying
x = 26

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