(5x)+(3x+10)+(x+5)+(2x-5)=360

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Solution for (5x)+(3x+10)+(x+5)+(2x-5)=360 equation:


Simplifying
(5x) + (3x + 10) + (x + 5) + (2x + -5) = 360

Reorder the terms:
(5x) + (10 + 3x) + (x + 5) + (2x + -5) = 360

Remove parenthesis around (10 + 3x)
(5x) + 10 + 3x + (x + 5) + (2x + -5) = 360

Reorder the terms:
(5x) + 10 + 3x + (5 + x) + (2x + -5) = 360

Remove parenthesis around (5 + x)
(5x) + 10 + 3x + 5 + x + (2x + -5) = 360

Reorder the terms:
(5x) + 10 + 3x + 5 + x + (-5 + 2x) = 360

Remove parenthesis around (-5 + 2x)
(5x) + 10 + 3x + 5 + x + -5 + 2x = 360

Reorder the terms:
10 + 5 + -5 + (5x) + 3x + x + 2x = 360

Combine like terms: 10 + 5 = 15
15 + -5 + (5x) + 3x + x + 2x = 360

Combine like terms: 15 + -5 = 10
10 + (5x) + 3x + x + 2x = 360

Combine like terms: (5x) + 3x = 8x
10 + 8x + x + 2x = 360

Combine like terms: 8x + x = 9x
10 + 9x + 2x = 360

Combine like terms: 9x + 2x = 11x
10 + 11x = 360

Solving
10 + 11x = 360

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 11x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 360 + -10
11x = 360 + -10

Combine like terms: 360 + -10 = 350
11x = 350

Divide each side by '11'.
x = 31.81818182

Simplifying
x = 31.81818182

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