360=7x+(x+36)+(9x+2)+(7x+10)

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Solution for 360=7x+(x+36)+(9x+2)+(7x+10) equation:


Simplifying
360 = 7x + (x + 36) + (9x + 2) + (7x + 10)

Reorder the terms:
360 = 7x + (36 + x) + (9x + 2) + (7x + 10)

Remove parenthesis around (36 + x)
360 = 7x + 36 + x + (9x + 2) + (7x + 10)

Reorder the terms:
360 = 7x + 36 + x + (2 + 9x) + (7x + 10)

Remove parenthesis around (2 + 9x)
360 = 7x + 36 + x + 2 + 9x + (7x + 10)

Reorder the terms:
360 = 7x + 36 + x + 2 + 9x + (10 + 7x)

Remove parenthesis around (10 + 7x)
360 = 7x + 36 + x + 2 + 9x + 10 + 7x

Reorder the terms:
360 = 36 + 2 + 10 + 7x + x + 9x + 7x

Combine like terms: 36 + 2 = 38
360 = 38 + 10 + 7x + x + 9x + 7x

Combine like terms: 38 + 10 = 48
360 = 48 + 7x + x + 9x + 7x

Combine like terms: 7x + x = 8x
360 = 48 + 8x + 9x + 7x

Combine like terms: 8x + 9x = 17x
360 = 48 + 17x + 7x

Combine like terms: 17x + 7x = 24x
360 = 48 + 24x

Solving
360 = 48 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
360 + -24x = 48 + 24x + -24x

Combine like terms: 24x + -24x = 0
360 + -24x = 48 + 0
360 + -24x = 48

Add '-360' to each side of the equation.
360 + -360 + -24x = 48 + -360

Combine like terms: 360 + -360 = 0
0 + -24x = 48 + -360
-24x = 48 + -360

Combine like terms: 48 + -360 = -312
-24x = -312

Divide each side by '-24'.
x = 13

Simplifying
x = 13

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