(2x+4)+(x-12)+(x+9)+(3x-33)=360

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Solution for (2x+4)+(x-12)+(x+9)+(3x-33)=360 equation:


Simplifying
(2x + 4) + (x + -12) + (x + 9) + (3x + -33) = 360

Reorder the terms:
(4 + 2x) + (x + -12) + (x + 9) + (3x + -33) = 360

Remove parenthesis around (4 + 2x)
4 + 2x + (x + -12) + (x + 9) + (3x + -33) = 360

Reorder the terms:
4 + 2x + (-12 + x) + (x + 9) + (3x + -33) = 360

Remove parenthesis around (-12 + x)
4 + 2x + -12 + x + (x + 9) + (3x + -33) = 360

Reorder the terms:
4 + 2x + -12 + x + (9 + x) + (3x + -33) = 360

Remove parenthesis around (9 + x)
4 + 2x + -12 + x + 9 + x + (3x + -33) = 360

Reorder the terms:
4 + 2x + -12 + x + 9 + x + (-33 + 3x) = 360

Remove parenthesis around (-33 + 3x)
4 + 2x + -12 + x + 9 + x + -33 + 3x = 360

Reorder the terms:
4 + -12 + 9 + -33 + 2x + x + x + 3x = 360

Combine like terms: 4 + -12 = -8
-8 + 9 + -33 + 2x + x + x + 3x = 360

Combine like terms: -8 + 9 = 1
1 + -33 + 2x + x + x + 3x = 360

Combine like terms: 1 + -33 = -32
-32 + 2x + x + x + 3x = 360

Combine like terms: 2x + x = 3x
-32 + 3x + x + 3x = 360

Combine like terms: 3x + x = 4x
-32 + 4x + 3x = 360

Combine like terms: 4x + 3x = 7x
-32 + 7x = 360

Solving
-32 + 7x = 360

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 7x = 360 + 32

Combine like terms: -32 + 32 = 0
0 + 7x = 360 + 32
7x = 360 + 32

Combine like terms: 360 + 32 = 392
7x = 392

Divide each side by '7'.
x = 56

Simplifying
x = 56

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