3x+32=7x-12

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Solution for 3x+32=7x-12 equation:


Simplifying
3x + 32 = 7x + -12

Reorder the terms:
32 + 3x = 7x + -12

Reorder the terms:
32 + 3x = -12 + 7x

Solving
32 + 3x = -12 + 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.
32 + 3x + -7x = -12 + 7x + -7x

Combine like terms: 3x + -7x = -4x
32 + -4x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -4x = -12 + 0
32 + -4x = -12

Add '-32' to each side of the equation.
32 + -32 + -4x = -12 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -12 + -32
-4x = -12 + -32

Combine like terms: -12 + -32 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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