(3x+38)+(7x-8)=180

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Solution for (3x+38)+(7x-8)=180 equation:


Simplifying
(3x + 38) + (7x + -8) = 180

Reorder the terms:
(38 + 3x) + (7x + -8) = 180

Remove parenthesis around (38 + 3x)
38 + 3x + (7x + -8) = 180

Reorder the terms:
38 + 3x + (-8 + 7x) = 180

Remove parenthesis around (-8 + 7x)
38 + 3x + -8 + 7x = 180

Reorder the terms:
38 + -8 + 3x + 7x = 180

Combine like terms: 38 + -8 = 30
30 + 3x + 7x = 180

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

Solving
30 + 10x = 180

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 10x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 10x = 180 + -30
10x = 180 + -30

Combine like terms: 180 + -30 = 150
10x = 150

Divide each side by '10'.
x = 15

Simplifying
x = 15

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