3x+(2x+10)+(2x+5)+(2x-15)=360

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Solution for 3x+(2x+10)+(2x+5)+(2x-15)=360 equation:


Simplifying
3x + (2x + 10) + (2x + 5) + (2x + -15) = 360

Reorder the terms:
3x + (10 + 2x) + (2x + 5) + (2x + -15) = 360

Remove parenthesis around (10 + 2x)
3x + 10 + 2x + (2x + 5) + (2x + -15) = 360

Reorder the terms:
3x + 10 + 2x + (5 + 2x) + (2x + -15) = 360

Remove parenthesis around (5 + 2x)
3x + 10 + 2x + 5 + 2x + (2x + -15) = 360

Reorder the terms:
3x + 10 + 2x + 5 + 2x + (-15 + 2x) = 360

Remove parenthesis around (-15 + 2x)
3x + 10 + 2x + 5 + 2x + -15 + 2x = 360

Reorder the terms:
10 + 5 + -15 + 3x + 2x + 2x + 2x = 360

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

Combine like terms: 15 + -15 = 0
0 + 3x + 2x + 2x + 2x = 360
3x + 2x + 2x + 2x = 360

Combine like terms: 3x + 2x = 5x
5x + 2x + 2x = 360

Combine like terms: 5x + 2x = 7x
7x + 2x = 360

Combine like terms: 7x + 2x = 9x
9x = 360

Solving
9x = 360

Solving for variable 'x'.

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

Divide each side by '9'.
x = 40

Simplifying
x = 40

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