5x+20=12x-18

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Solution for 5x+20=12x-18 equation: 


Simplifying
5x + 20 = 12x + -18

Reorder the terms:
20 + 5x = 12x + -18

Reorder the terms:
20 + 5x = -18 + 12x

Solving
20 + 5x = -18 + 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.
20 + 5x + -12x = -18 + 12x + -12x

Combine like terms: 5x + -12x = -7x
20 + -7x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -7x = -18 + 0
20 + -7x = -18

Add '-20' to each side of the equation.
20 + -20 + -7x = -18 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -18 + -20
-7x = -18 + -20

Combine like terms: -18 + -20 = -38
-7x = -38

Divide each side by '-7'.
x = 5.428571429

Simplifying
x = 5.428571429

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