(3x+10)+(7x-30)=180

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Solution for (3x+10)+(7x-30)=180 equation:


Simplifying
(3x + 10) + (7x + -30) = 180

Reorder the terms:
(10 + 3x) + (7x + -30) = 180

Remove parenthesis around (10 + 3x)
10 + 3x + (7x + -30) = 180

Reorder the terms:
10 + 3x + (-30 + 7x) = 180

Remove parenthesis around (-30 + 7x)
10 + 3x + -30 + 7x = 180

Reorder the terms:
10 + -30 + 3x + 7x = 180

Combine like terms: 10 + -30 = -20
-20 + 3x + 7x = 180

Combine like terms: 3x + 7x = 10x
-20 + 10x = 180

Solving
-20 + 10x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 180 + 20
10x = 180 + 20

Combine like terms: 180 + 20 = 200
10x = 200

Divide each side by '10'.
x = 20

Simplifying
x = 20

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