(8x+3)+(5x+15)+(7x+2)=180

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Solution for (8x+3)+(5x+15)+(7x+2)=180 equation:


Simplifying
(8x + 3) + (5x + 15) + (7x + 2) = 180

Reorder the terms:
(3 + 8x) + (5x + 15) + (7x + 2) = 180

Remove parenthesis around (3 + 8x)
3 + 8x + (5x + 15) + (7x + 2) = 180

Reorder the terms:
3 + 8x + (15 + 5x) + (7x + 2) = 180

Remove parenthesis around (15 + 5x)
3 + 8x + 15 + 5x + (7x + 2) = 180

Reorder the terms:
3 + 8x + 15 + 5x + (2 + 7x) = 180

Remove parenthesis around (2 + 7x)
3 + 8x + 15 + 5x + 2 + 7x = 180

Reorder the terms:
3 + 15 + 2 + 8x + 5x + 7x = 180

Combine like terms: 3 + 15 = 18
18 + 2 + 8x + 5x + 7x = 180

Combine like terms: 18 + 2 = 20
20 + 8x + 5x + 7x = 180

Combine like terms: 8x + 5x = 13x
20 + 13x + 7x = 180

Combine like terms: 13x + 7x = 20x
20 + 20x = 180

Solving
20 + 20x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 20x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 20x = 180 + -20
20x = 180 + -20

Combine like terms: 180 + -20 = 160
20x = 160

Divide each side by '20'.
x = 8

Simplifying
x = 8

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