7x+22=3x-6

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Solution for 7x+22=3x-6 equation:


Simplifying
7x + 22 = 3x + -6

Reorder the terms:
22 + 7x = 3x + -6

Reorder the terms:
22 + 7x = -6 + 3x

Solving
22 + 7x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
22 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
22 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 4x = -6 + 0
22 + 4x = -6

Add '-22' to each side of the equation.
22 + -22 + 4x = -6 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = -6 + -22
4x = -6 + -22

Combine like terms: -6 + -22 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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