(5x+4)+(8x+7)+(3x+9)=180

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Solution for (5x+4)+(8x+7)+(3x+9)=180 equation:


Simplifying
(5x + 4) + (8x + 7) + (3x + 9) = 180

Reorder the terms:
(4 + 5x) + (8x + 7) + (3x + 9) = 180

Remove parenthesis around (4 + 5x)
4 + 5x + (8x + 7) + (3x + 9) = 180

Reorder the terms:
4 + 5x + (7 + 8x) + (3x + 9) = 180

Remove parenthesis around (7 + 8x)
4 + 5x + 7 + 8x + (3x + 9) = 180

Reorder the terms:
4 + 5x + 7 + 8x + (9 + 3x) = 180

Remove parenthesis around (9 + 3x)
4 + 5x + 7 + 8x + 9 + 3x = 180

Reorder the terms:
4 + 7 + 9 + 5x + 8x + 3x = 180

Combine like terms: 4 + 7 = 11
11 + 9 + 5x + 8x + 3x = 180

Combine like terms: 11 + 9 = 20
20 + 5x + 8x + 3x = 180

Combine like terms: 5x + 8x = 13x
20 + 13x + 3x = 180

Combine like terms: 13x + 3x = 16x
20 + 16x = 180

Solving
20 + 16x = 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 + 16x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 16x = 180 + -20
16x = 180 + -20

Combine like terms: 180 + -20 = 160
16x = 160

Divide each side by '16'.
x = 10

Simplifying
x = 10

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