5x+28=15x-82

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Solution for 5x+28=15x-82 equation:


Simplifying
5x + 28 = 15x + -82

Reorder the terms:
28 + 5x = 15x + -82

Reorder the terms:
28 + 5x = -82 + 15x

Solving
28 + 5x = -82 + 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.
28 + 5x + -15x = -82 + 15x + -15x

Combine like terms: 5x + -15x = -10x
28 + -10x = -82 + 15x + -15x

Combine like terms: 15x + -15x = 0
28 + -10x = -82 + 0
28 + -10x = -82

Add '-28' to each side of the equation.
28 + -28 + -10x = -82 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = -82 + -28
-10x = -82 + -28

Combine like terms: -82 + -28 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11

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