4x+22=12x-47

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Solution for 4x+22=12x-47 equation:


Simplifying
4x + 22 = 12x + -47

Reorder the terms:
22 + 4x = 12x + -47

Reorder the terms:
22 + 4x = -47 + 12x

Solving
22 + 4x = -47 + 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 + 4x + -12x = -47 + 12x + -12x

Combine like terms: 4x + -12x = -8x
22 + -8x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -8x = -47 + 0
22 + -8x = -47

Add '-22' to each side of the equation.
22 + -22 + -8x = -47 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -47 + -22
-8x = -47 + -22

Combine like terms: -47 + -22 = -69
-8x = -69

Divide each side by '-8'.
x = 8.625

Simplifying
x = 8.625

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