15x+40=7x-24

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Solution for 15x+40=7x-24 equation:


Simplifying
15x + 40 = 7x + -24

Reorder the terms:
40 + 15x = 7x + -24

Reorder the terms:
40 + 15x = -24 + 7x

Solving
40 + 15x = -24 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
40 + 15x + -7x = -24 + 7x + -7x

Combine like terms: 15x + -7x = 8x
40 + 8x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
40 + 8x = -24 + 0
40 + 8x = -24

Add '-40' to each side of the equation.
40 + -40 + 8x = -24 + -40

Combine like terms: 40 + -40 = 0
0 + 8x = -24 + -40
8x = -24 + -40

Combine like terms: -24 + -40 = -64
8x = -64

Divide each side by '8'.
x = -8

Simplifying
x = -8

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