10x-32=15x-100

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Solution for 10x-32=15x-100 equation:


Simplifying
10x + -32 = 15x + -100

Reorder the terms:
-32 + 10x = 15x + -100

Reorder the terms:
-32 + 10x = -100 + 15x

Solving
-32 + 10x = -100 + 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.
-32 + 10x + -15x = -100 + 15x + -15x

Combine like terms: 10x + -15x = -5x
-32 + -5x = -100 + 15x + -15x

Combine like terms: 15x + -15x = 0
-32 + -5x = -100 + 0
-32 + -5x = -100

Add '32' to each side of the equation.
-32 + 32 + -5x = -100 + 32

Combine like terms: -32 + 32 = 0
0 + -5x = -100 + 32
-5x = -100 + 32

Combine like terms: -100 + 32 = -68
-5x = -68

Divide each side by '-5'.
x = 13.6

Simplifying
x = 13.6

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