5(x+10)=120-2x

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Solution for 5(x+10)=120-2x equation:


Simplifying
5(x + 10) = 120 + -2x

Reorder the terms:
5(10 + x) = 120 + -2x
(10 * 5 + x * 5) = 120 + -2x
(50 + 5x) = 120 + -2x

Solving
50 + 5x = 120 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
50 + 5x + 2x = 120 + -2x + 2x

Combine like terms: 5x + 2x = 7x
50 + 7x = 120 + -2x + 2x

Combine like terms: -2x + 2x = 0
50 + 7x = 120 + 0
50 + 7x = 120

Add '-50' to each side of the equation.
50 + -50 + 7x = 120 + -50

Combine like terms: 50 + -50 = 0
0 + 7x = 120 + -50
7x = 120 + -50

Combine like terms: 120 + -50 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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