3x+32=15x-40

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Solution for 3x+32=15x-40 equation:


Simplifying
3x + 32 = 15x + -40

Reorder the terms:
32 + 3x = 15x + -40

Reorder the terms:
32 + 3x = -40 + 15x

Solving
32 + 3x = -40 + 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 + 3x + -15x = -40 + 15x + -15x

Combine like terms: 3x + -15x = -12x
32 + -12x = -40 + 15x + -15x

Combine like terms: 15x + -15x = 0
32 + -12x = -40 + 0
32 + -12x = -40

Add '-32' to each side of the equation.
32 + -32 + -12x = -40 + -32

Combine like terms: 32 + -32 = 0
0 + -12x = -40 + -32
-12x = -40 + -32

Combine like terms: -40 + -32 = -72
-12x = -72

Divide each side by '-12'.
x = 6

Simplifying
x = 6

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