3x+22=7x-12

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Solution for 3x+22=7x-12 equation:


Simplifying
3x + 22 = 7x + -12

Reorder the terms:
22 + 3x = 7x + -12

Reorder the terms:
22 + 3x = -12 + 7x

Solving
22 + 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.
22 + 3x + -7x = -12 + 7x + -7x

Combine like terms: 3x + -7x = -4x
22 + -4x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -4x = -12 + 0
22 + -4x = -12

Add '-22' to each side of the equation.
22 + -22 + -4x = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = -12 + -22
-4x = -12 + -22

Combine like terms: -12 + -22 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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