(213-6x)+(2x+7)+(9x+63)+(4x-13)=360

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Solution for (213-6x)+(2x+7)+(9x+63)+(4x-13)=360 equation:


Simplifying
(213 + -6x) + (2x + 7) + (9x + 63) + (4x + -13) = 360

Remove parenthesis around (213 + -6x)
213 + -6x + (2x + 7) + (9x + 63) + (4x + -13) = 360

Reorder the terms:
213 + -6x + (7 + 2x) + (9x + 63) + (4x + -13) = 360

Remove parenthesis around (7 + 2x)
213 + -6x + 7 + 2x + (9x + 63) + (4x + -13) = 360

Reorder the terms:
213 + -6x + 7 + 2x + (63 + 9x) + (4x + -13) = 360

Remove parenthesis around (63 + 9x)
213 + -6x + 7 + 2x + 63 + 9x + (4x + -13) = 360

Reorder the terms:
213 + -6x + 7 + 2x + 63 + 9x + (-13 + 4x) = 360

Remove parenthesis around (-13 + 4x)
213 + -6x + 7 + 2x + 63 + 9x + -13 + 4x = 360

Reorder the terms:
213 + 7 + 63 + -13 + -6x + 2x + 9x + 4x = 360

Combine like terms: 213 + 7 = 220
220 + 63 + -13 + -6x + 2x + 9x + 4x = 360

Combine like terms: 220 + 63 = 283
283 + -13 + -6x + 2x + 9x + 4x = 360

Combine like terms: 283 + -13 = 270
270 + -6x + 2x + 9x + 4x = 360

Combine like terms: -6x + 2x = -4x
270 + -4x + 9x + 4x = 360

Combine like terms: -4x + 9x = 5x
270 + 5x + 4x = 360

Combine like terms: 5x + 4x = 9x
270 + 9x = 360

Solving
270 + 9x = 360

Solving for variable 'x'.

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

Add '-270' to each side of the equation.
270 + -270 + 9x = 360 + -270

Combine like terms: 270 + -270 = 0
0 + 9x = 360 + -270
9x = 360 + -270

Combine like terms: 360 + -270 = 90
9x = 90

Divide each side by '9'.
x = 10

Simplifying
x = 10

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