6x+24=15x-75

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Solution for 6x+24=15x-75 equation:


Simplifying
6x + 24 = 15x + -75

Reorder the terms:
24 + 6x = 15x + -75

Reorder the terms:
24 + 6x = -75 + 15x

Solving
24 + 6x = -75 + 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.
24 + 6x + -15x = -75 + 15x + -15x

Combine like terms: 6x + -15x = -9x
24 + -9x = -75 + 15x + -15x

Combine like terms: 15x + -15x = 0
24 + -9x = -75 + 0
24 + -9x = -75

Add '-24' to each side of the equation.
24 + -24 + -9x = -75 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -75 + -24
-9x = -75 + -24

Combine like terms: -75 + -24 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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