1(x+5)+1(2x+15)+1(2x+10)=180

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Solution for 1(x+5)+1(2x+15)+1(2x+10)=180 equation:


Simplifying
1(x + 5) + 1(2x + 15) + 1(2x + 10) = 180

Reorder the terms:
1(5 + x) + 1(2x + 15) + 1(2x + 10) = 180
(5 * 1 + x * 1) + 1(2x + 15) + 1(2x + 10) = 180
(5 + 1x) + 1(2x + 15) + 1(2x + 10) = 180

Reorder the terms:
5 + 1x + 1(15 + 2x) + 1(2x + 10) = 180
5 + 1x + (15 * 1 + 2x * 1) + 1(2x + 10) = 180
5 + 1x + (15 + 2x) + 1(2x + 10) = 180

Reorder the terms:
5 + 1x + 15 + 2x + 1(10 + 2x) = 180
5 + 1x + 15 + 2x + (10 * 1 + 2x * 1) = 180
5 + 1x + 15 + 2x + (10 + 2x) = 180

Reorder the terms:
5 + 15 + 10 + 1x + 2x + 2x = 180

Combine like terms: 5 + 15 = 20
20 + 10 + 1x + 2x + 2x = 180

Combine like terms: 20 + 10 = 30
30 + 1x + 2x + 2x = 180

Combine like terms: 1x + 2x = 3x
30 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
30 + 5x = 180

Solving
30 + 5x = 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 + 5x = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 180 + -30
5x = 180 + -30

Combine like terms: 180 + -30 = 150
5x = 150

Divide each side by '5'.
x = 30

Simplifying
x = 30

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