(5x+20)+(3x+1)+(4x+15)=180

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Solution for (5x+20)+(3x+1)+(4x+15)=180 equation:


Simplifying
(5x + 20) + (3x + 1) + (4x + 15) = 180

Reorder the terms:
(20 + 5x) + (3x + 1) + (4x + 15) = 180

Remove parenthesis around (20 + 5x)
20 + 5x + (3x + 1) + (4x + 15) = 180

Reorder the terms:
20 + 5x + (1 + 3x) + (4x + 15) = 180

Remove parenthesis around (1 + 3x)
20 + 5x + 1 + 3x + (4x + 15) = 180

Reorder the terms:
20 + 5x + 1 + 3x + (15 + 4x) = 180

Remove parenthesis around (15 + 4x)
20 + 5x + 1 + 3x + 15 + 4x = 180

Reorder the terms:
20 + 1 + 15 + 5x + 3x + 4x = 180

Combine like terms: 20 + 1 = 21
21 + 15 + 5x + 3x + 4x = 180

Combine like terms: 21 + 15 = 36
36 + 5x + 3x + 4x = 180

Combine like terms: 5x + 3x = 8x
36 + 8x + 4x = 180

Combine like terms: 8x + 4x = 12x
36 + 12x = 180

Solving
36 + 12x = 180

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 12x = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 12x = 180 + -36
12x = 180 + -36

Combine like terms: 180 + -36 = 144
12x = 144

Divide each side by '12'.
x = 12

Simplifying
x = 12

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