3x+22=12x-15

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Solution for 3x+22=12x-15 equation:


Simplifying
3x + 22 = 12x + -15

Reorder the terms:
22 + 3x = 12x + -15

Reorder the terms:
22 + 3x = -15 + 12x

Solving
22 + 3x = -15 + 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 + 3x + -12x = -15 + 12x + -12x

Combine like terms: 3x + -12x = -9x
22 + -9x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -9x = -15 + 0
22 + -9x = -15

Add '-22' to each side of the equation.
22 + -22 + -9x = -15 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -15 + -22
-9x = -15 + -22

Combine like terms: -15 + -22 = -37
-9x = -37

Divide each side by '-9'.
x = 4.111111111

Simplifying
x = 4.111111111

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