5x+22=12x-48

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Solution for 5x+22=12x-48 equation:


Simplifying
5x + 22 = 12x + -48

Reorder the terms:
22 + 5x = 12x + -48

Reorder the terms:
22 + 5x = -48 + 12x

Solving
22 + 5x = -48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22 + 5x + -12x = -48 + 12x + -12x

Combine like terms: 5x + -12x = -7x
22 + -7x = -48 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -7x = -48 + 0
22 + -7x = -48

Add '-22' to each side of the equation.
22 + -22 + -7x = -48 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -48 + -22
-7x = -48 + -22

Combine like terms: -48 + -22 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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