(2x+9)+(3x-10)+(3x-10)+(x-7)=360

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Solution for (2x+9)+(3x-10)+(3x-10)+(x-7)=360 equation: 


Simplifying
(2x + 9) + (3x + -10) + (3x + -10) + (x + -7) = 360

Reorder the terms:
(9 + 2x) + (3x + -10) + (3x + -10) + (x + -7) = 360

Remove parenthesis around (9 + 2x)
9 + 2x + (3x + -10) + (3x + -10) + (x + -7) = 360

Reorder the terms:
9 + 2x + (-10 + 3x) + (3x + -10) + (x + -7) = 360

Remove parenthesis around (-10 + 3x)
9 + 2x + -10 + 3x + (3x + -10) + (x + -7) = 360

Reorder the terms:
9 + 2x + -10 + 3x + (-10 + 3x) + (x + -7) = 360

Remove parenthesis around (-10 + 3x)
9 + 2x + -10 + 3x + -10 + 3x + (x + -7) = 360

Reorder the terms:
9 + 2x + -10 + 3x + -10 + 3x + (-7 + x) = 360

Remove parenthesis around (-7 + x)
9 + 2x + -10 + 3x + -10 + 3x + -7 + x = 360

Reorder the terms:
9 + -10 + -10 + -7 + 2x + 3x + 3x + x = 360

Combine like terms: 9 + -10 = -1
-1 + -10 + -7 + 2x + 3x + 3x + x = 360

Combine like terms: -1 + -10 = -11
-11 + -7 + 2x + 3x + 3x + x = 360

Combine like terms: -11 + -7 = -18
-18 + 2x + 3x + 3x + x = 360

Combine like terms: 2x + 3x = 5x
-18 + 5x + 3x + x = 360

Combine like terms: 5x + 3x = 8x
-18 + 8x + x = 360

Combine like terms: 8x + x = 9x
-18 + 9x = 360

Solving
-18 + 9x = 360

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 9x = 360 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 360 + 18
9x = 360 + 18

Combine like terms: 360 + 18 = 378
9x = 378

Divide each side by '9'.
x = 42

Simplifying
x = 42

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