-3(x-5)+5(x+7)+22=82

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Solution for -3(x-5)+5(x+7)+22=82 equation:


Simplifying
-3(x + -5) + 5(x + 7) + 22 = 82

Reorder the terms:
-3(-5 + x) + 5(x + 7) + 22 = 82
(-5 * -3 + x * -3) + 5(x + 7) + 22 = 82
(15 + -3x) + 5(x + 7) + 22 = 82

Reorder the terms:
15 + -3x + 5(7 + x) + 22 = 82
15 + -3x + (7 * 5 + x * 5) + 22 = 82
15 + -3x + (35 + 5x) + 22 = 82

Reorder the terms:
15 + 35 + 22 + -3x + 5x = 82

Combine like terms: 15 + 35 = 50
50 + 22 + -3x + 5x = 82

Combine like terms: 50 + 22 = 72
72 + -3x + 5x = 82

Combine like terms: -3x + 5x = 2x
72 + 2x = 82

Solving
72 + 2x = 82

Solving for variable 'x'.

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

Add '-72' to each side of the equation.
72 + -72 + 2x = 82 + -72

Combine like terms: 72 + -72 = 0
0 + 2x = 82 + -72
2x = 82 + -72

Combine like terms: 82 + -72 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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