3x+40=7x-12

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


Simplifying
3x + 40 = 7x + -12

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

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

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

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

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

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

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

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

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

Simplifying
x = 13

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