3x+12=7x-40

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Solution for 3x+12=7x-40 equation:


Simplifying
3x + 12 = 7x + -40

Reorder the terms:
12 + 3x = 7x + -40

Reorder the terms:
12 + 3x = -40 + 7x

Solving
12 + 3x = -40 + 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.
12 + 3x + -7x = -40 + 7x + -7x

Combine like terms: 3x + -7x = -4x
12 + -4x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -4x = -40 + 0
12 + -4x = -40

Add '-12' to each side of the equation.
12 + -12 + -4x = -40 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -40 + -12
-4x = -40 + -12

Combine like terms: -40 + -12 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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