(10x+5)+(4x+9)+(5x+4)=180

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Solution for (10x+5)+(4x+9)+(5x+4)=180 equation:


Simplifying
(10x + 5) + (4x + 9) + (5x + 4) = 180

Reorder the terms:
(5 + 10x) + (4x + 9) + (5x + 4) = 180

Remove parenthesis around (5 + 10x)
5 + 10x + (4x + 9) + (5x + 4) = 180

Reorder the terms:
5 + 10x + (9 + 4x) + (5x + 4) = 180

Remove parenthesis around (9 + 4x)
5 + 10x + 9 + 4x + (5x + 4) = 180

Reorder the terms:
5 + 10x + 9 + 4x + (4 + 5x) = 180

Remove parenthesis around (4 + 5x)
5 + 10x + 9 + 4x + 4 + 5x = 180

Reorder the terms:
5 + 9 + 4 + 10x + 4x + 5x = 180

Combine like terms: 5 + 9 = 14
14 + 4 + 10x + 4x + 5x = 180

Combine like terms: 14 + 4 = 18
18 + 10x + 4x + 5x = 180

Combine like terms: 10x + 4x = 14x
18 + 14x + 5x = 180

Combine like terms: 14x + 5x = 19x
18 + 19x = 180

Solving
18 + 19x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 19x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 19x = 180 + -18
19x = 180 + -18

Combine like terms: 180 + -18 = 162
19x = 162

Divide each side by '19'.
x = 8.526315789

Simplifying
x = 8.526315789

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