-72=3(x-6)+10(10-8x)

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Solution for -72=3(x-6)+10(10-8x) equation:


Simplifying
-72 = 3(x + -6) + 10(10 + -8x)

Reorder the terms:
-72 = 3(-6 + x) + 10(10 + -8x)
-72 = (-6 * 3 + x * 3) + 10(10 + -8x)
-72 = (-18 + 3x) + 10(10 + -8x)
-72 = -18 + 3x + (10 * 10 + -8x * 10)
-72 = -18 + 3x + (100 + -80x)

Reorder the terms:
-72 = -18 + 100 + 3x + -80x

Combine like terms: -18 + 100 = 82
-72 = 82 + 3x + -80x

Combine like terms: 3x + -80x = -77x
-72 = 82 + -77x

Solving
-72 = 82 + -77x

Solving for variable 'x'.

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

Add '77x' to each side of the equation.
-72 + 77x = 82 + -77x + 77x

Combine like terms: -77x + 77x = 0
-72 + 77x = 82 + 0
-72 + 77x = 82

Add '72' to each side of the equation.
-72 + 72 + 77x = 82 + 72

Combine like terms: -72 + 72 = 0
0 + 77x = 82 + 72
77x = 82 + 72

Combine like terms: 82 + 72 = 154
77x = 154

Divide each side by '77'.
x = 2

Simplifying
x = 2

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