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

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


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

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

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

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

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

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

Combine like terms: 5 + -7 = -2
-2 + 3x + 10x = 180

Combine like terms: 3x + 10x = 13x
-2 + 13x = 180

Solving
-2 + 13x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 13x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 180 + 2
13x = 180 + 2

Combine like terms: 180 + 2 = 182
13x = 182

Divide each side by '13'.
x = 14

Simplifying
x = 14

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