(10x-2)+(11x-6)+(7x+4)=360

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Solution for (10x-2)+(11x-6)+(7x+4)=360 equation:


Simplifying
(10x + -2) + (11x + -6) + (7x + 4) = 360

Reorder the terms:
(-2 + 10x) + (11x + -6) + (7x + 4) = 360

Remove parenthesis around (-2 + 10x)
-2 + 10x + (11x + -6) + (7x + 4) = 360

Reorder the terms:
-2 + 10x + (-6 + 11x) + (7x + 4) = 360

Remove parenthesis around (-6 + 11x)
-2 + 10x + -6 + 11x + (7x + 4) = 360

Reorder the terms:
-2 + 10x + -6 + 11x + (4 + 7x) = 360

Remove parenthesis around (4 + 7x)
-2 + 10x + -6 + 11x + 4 + 7x = 360

Reorder the terms:
-2 + -6 + 4 + 10x + 11x + 7x = 360

Combine like terms: -2 + -6 = -8
-8 + 4 + 10x + 11x + 7x = 360

Combine like terms: -8 + 4 = -4
-4 + 10x + 11x + 7x = 360

Combine like terms: 10x + 11x = 21x
-4 + 21x + 7x = 360

Combine like terms: 21x + 7x = 28x
-4 + 28x = 360

Solving
-4 + 28x = 360

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 28x = 360 + 4

Combine like terms: -4 + 4 = 0
0 + 28x = 360 + 4
28x = 360 + 4

Combine like terms: 360 + 4 = 364
28x = 364

Divide each side by '28'.
x = 13

Simplifying
x = 13

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