3(x+10)+2(x+15)=180

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Solution for 3(x+10)+2(x+15)=180 equation: 


Simplifying
3(x + 10) + 2(x + 15) = 180

Reorder the terms:
3(10 + x) + 2(x + 15) = 180
(10 * 3 + x * 3) + 2(x + 15) = 180
(30 + 3x) + 2(x + 15) = 180

Reorder the terms:
30 + 3x + 2(15 + x) = 180
30 + 3x + (15 * 2 + x * 2) = 180
30 + 3x + (30 + 2x) = 180

Reorder the terms:
30 + 30 + 3x + 2x = 180

Combine like terms: 30 + 30 = 60
60 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
60 + 5x = 180

Solving
60 + 5x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 5x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 180 + -60
5x = 180 + -60

Combine like terms: 180 + -60 = 120
5x = 120

Divide each side by '5'.
x = 24

Simplifying
x = 24

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