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

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


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

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

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

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

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

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

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

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

Combine like terms: 5 + 4 = 9
9 + 3 + 2x + 7x + 5x = 180

Combine like terms: 9 + 3 = 12
12 + 2x + 7x + 5x = 180

Combine like terms: 2x + 7x = 9x
12 + 9x + 5x = 180

Combine like terms: 9x + 5x = 14x
12 + 14x = 180

Solving
12 + 14x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 14x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = 180 + -12
14x = 180 + -12

Combine like terms: 180 + -12 = 168
14x = 168

Divide each side by '14'.
x = 12

Simplifying
x = 12

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