10x+8=15x-92

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Solution for 10x+8=15x-92 equation:


Simplifying
10x + 8 = 15x + -92

Reorder the terms:
8 + 10x = 15x + -92

Reorder the terms:
8 + 10x = -92 + 15x

Solving
8 + 10x = -92 + 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.
8 + 10x + -15x = -92 + 15x + -15x

Combine like terms: 10x + -15x = -5x
8 + -5x = -92 + 15x + -15x

Combine like terms: 15x + -15x = 0
8 + -5x = -92 + 0
8 + -5x = -92

Add '-8' to each side of the equation.
8 + -8 + -5x = -92 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -92 + -8
-5x = -92 + -8

Combine like terms: -92 + -8 = -100
-5x = -100

Divide each side by '-5'.
x = 20

Simplifying
x = 20

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