2(x+5)+3(x-5)=180

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Solution for 2(x+5)+3(x-5)=180 equation: 


Simplifying
2(x + 5) + 3(x + -5) = 180

Reorder the terms:
2(5 + x) + 3(x + -5) = 180
(5 * 2 + x * 2) + 3(x + -5) = 180
(10 + 2x) + 3(x + -5) = 180

Reorder the terms:
10 + 2x + 3(-5 + x) = 180
10 + 2x + (-5 * 3 + x * 3) = 180
10 + 2x + (-15 + 3x) = 180

Reorder the terms:
10 + -15 + 2x + 3x = 180

Combine like terms: 10 + -15 = -5
-5 + 2x + 3x = 180

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

Solving
-5 + 5x = 180

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 5x = 180 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 180 + 5
5x = 180 + 5

Combine like terms: 180 + 5 = 185
5x = 185

Divide each side by '5'.
x = 37

Simplifying
x = 37

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