(20x-11)+(4x+6)+(7x-7)=360

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Solution for (20x-11)+(4x+6)+(7x-7)=360 equation:


Simplifying
(20x + -11) + (4x + 6) + (7x + -7) = 360

Reorder the terms:
(-11 + 20x) + (4x + 6) + (7x + -7) = 360

Remove parenthesis around (-11 + 20x)
-11 + 20x + (4x + 6) + (7x + -7) = 360

Reorder the terms:
-11 + 20x + (6 + 4x) + (7x + -7) = 360

Remove parenthesis around (6 + 4x)
-11 + 20x + 6 + 4x + (7x + -7) = 360

Reorder the terms:
-11 + 20x + 6 + 4x + (-7 + 7x) = 360

Remove parenthesis around (-7 + 7x)
-11 + 20x + 6 + 4x + -7 + 7x = 360

Reorder the terms:
-11 + 6 + -7 + 20x + 4x + 7x = 360

Combine like terms: -11 + 6 = -5
-5 + -7 + 20x + 4x + 7x = 360

Combine like terms: -5 + -7 = -12
-12 + 20x + 4x + 7x = 360

Combine like terms: 20x + 4x = 24x
-12 + 24x + 7x = 360

Combine like terms: 24x + 7x = 31x
-12 + 31x = 360

Solving
-12 + 31x = 360

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 31x = 360 + 12

Combine like terms: -12 + 12 = 0
0 + 31x = 360 + 12
31x = 360 + 12

Combine like terms: 360 + 12 = 372
31x = 372

Divide each side by '31'.
x = 12

Simplifying
x = 12

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