(5x+4)+(x-2)+(3x+7)=180

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Solution for (5x+4)+(x-2)+(3x+7)=180 equation:


Simplifying
(5x + 4) + (x + -2) + (3x + 7) = 180

Reorder the terms:
(4 + 5x) + (x + -2) + (3x + 7) = 180

Remove parenthesis around (4 + 5x)
4 + 5x + (x + -2) + (3x + 7) = 180

Reorder the terms:
4 + 5x + (-2 + x) + (3x + 7) = 180

Remove parenthesis around (-2 + x)
4 + 5x + -2 + x + (3x + 7) = 180

Reorder the terms:
4 + 5x + -2 + x + (7 + 3x) = 180

Remove parenthesis around (7 + 3x)
4 + 5x + -2 + x + 7 + 3x = 180

Reorder the terms:
4 + -2 + 7 + 5x + x + 3x = 180

Combine like terms: 4 + -2 = 2
2 + 7 + 5x + x + 3x = 180

Combine like terms: 2 + 7 = 9
9 + 5x + x + 3x = 180

Combine like terms: 5x + x = 6x
9 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
9 + 9x = 180

Solving
9 + 9x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 9x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 180 + -9
9x = 180 + -9

Combine like terms: 180 + -9 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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