(5+3x)+(10+7x)=180

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Solution for (5+3x)+(10+7x)=180 equation:


Simplifying
(5 + 3x) + (10 + 7x) = 180

Remove parenthesis around (5 + 3x)
5 + 3x + (10 + 7x) = 180

Remove parenthesis around (10 + 7x)
5 + 3x + 10 + 7x = 180

Reorder the terms:
5 + 10 + 3x + 7x = 180

Combine like terms: 5 + 10 = 15
15 + 3x + 7x = 180

Combine like terms: 3x + 7x = 10x
15 + 10x = 180

Solving
15 + 10x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 10x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 10x = 180 + -15
10x = 180 + -15

Combine like terms: 180 + -15 = 165
10x = 165

Divide each side by '10'.
x = 16.5

Simplifying
x = 16.5

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