7x+20=12x-30

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Solution for 7x+20=12x-30 equation:


Simplifying
7x + 20 = 12x + -30

Reorder the terms:
20 + 7x = 12x + -30

Reorder the terms:
20 + 7x = -30 + 12x

Solving
20 + 7x = -30 + 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 + 7x + -12x = -30 + 12x + -12x

Combine like terms: 7x + -12x = -5x
20 + -5x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -5x = -30 + 0
20 + -5x = -30

Add '-20' to each side of the equation.
20 + -20 + -5x = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -30 + -20
-5x = -30 + -20

Combine like terms: -30 + -20 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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