7x+120=5(x+30)

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Solution for 7x+120=5(x+30) equation: 


Simplifying
7x + 120 = 5(x + 30)

Reorder the terms:
120 + 7x = 5(x + 30)

Reorder the terms:
120 + 7x = 5(30 + x)
120 + 7x = (30 * 5 + x * 5)
120 + 7x = (150 + 5x)

Solving
120 + 7x = 150 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
120 + 7x + -5x = 150 + 5x + -5x

Combine like terms: 7x + -5x = 2x
120 + 2x = 150 + 5x + -5x

Combine like terms: 5x + -5x = 0
120 + 2x = 150 + 0
120 + 2x = 150

Add '-120' to each side of the equation.
120 + -120 + 2x = 150 + -120

Combine like terms: 120 + -120 = 0
0 + 2x = 150 + -120
2x = 150 + -120

Combine like terms: 150 + -120 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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