3(2x-8)-10(9+x)=216

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Solution for 3(2x-8)-10(9+x)=216 equation: 


Simplifying
3(2x + -8) + -10(9 + x) = 216

Reorder the terms:
3(-8 + 2x) + -10(9 + x) = 216
(-8 * 3 + 2x * 3) + -10(9 + x) = 216
(-24 + 6x) + -10(9 + x) = 216
-24 + 6x + (9 * -10 + x * -10) = 216
-24 + 6x + (-90 + -10x) = 216

Reorder the terms:
-24 + -90 + 6x + -10x = 216

Combine like terms: -24 + -90 = -114
-114 + 6x + -10x = 216

Combine like terms: 6x + -10x = -4x
-114 + -4x = 216

Solving
-114 + -4x = 216

Solving for variable 'x'.

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

Add '114' to each side of the equation.
-114 + 114 + -4x = 216 + 114

Combine like terms: -114 + 114 = 0
0 + -4x = 216 + 114
-4x = 216 + 114

Combine like terms: 216 + 114 = 330
-4x = 330

Divide each side by '-4'.
x = -82.5

Simplifying
x = -82.5

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