(5x+2)+(8x+4)+(x)=180

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Solution for (5x+2)+(8x+4)+(x)=180 equation:


Simplifying
(5x + 2) + (8x + 4) + (x) = 180

Reorder the terms:
(2 + 5x) + (8x + 4) + (x) = 180

Remove parenthesis around (2 + 5x)
2 + 5x + (8x + 4) + (x) = 180

Reorder the terms:
2 + 5x + (4 + 8x) + (x) = 180

Remove parenthesis around (4 + 8x)
2 + 5x + 4 + 8x + (x) = 180
2 + 5x + 4 + 8x + x = 180

Reorder the terms:
2 + 4 + 5x + 8x + x = 180

Combine like terms: 2 + 4 = 6
6 + 5x + 8x + x = 180

Combine like terms: 5x + 8x = 13x
6 + 13x + x = 180

Combine like terms: 13x + x = 14x
6 + 14x = 180

Solving
6 + 14x = 180

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 14x = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 180 + -6
14x = 180 + -6

Combine like terms: 180 + -6 = 174
14x = 174

Divide each side by '14'.
x = 12.42857143

Simplifying
x = 12.42857143

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