(5x+12)+(6x-10)=360

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Solution for (5x+12)+(6x-10)=360 equation:


Simplifying
(5x + 12) + (6x + -10) = 360

Reorder the terms:
(12 + 5x) + (6x + -10) = 360

Remove parenthesis around (12 + 5x)
12 + 5x + (6x + -10) = 360

Reorder the terms:
12 + 5x + (-10 + 6x) = 360

Remove parenthesis around (-10 + 6x)
12 + 5x + -10 + 6x = 360

Reorder the terms:
12 + -10 + 5x + 6x = 360

Combine like terms: 12 + -10 = 2
2 + 5x + 6x = 360

Combine like terms: 5x + 6x = 11x
2 + 11x = 360

Solving
2 + 11x = 360

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 11x = 360 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 360 + -2
11x = 360 + -2

Combine like terms: 360 + -2 = 358
11x = 358

Divide each side by '11'.
x = 32.54545455

Simplifying
x = 32.54545455

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