-3(x-2)-30=5x+16+8

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Solution for -3(x-2)-30=5x+16+8 equation:


Simplifying
-3(x + -2) + -30 = 5x + 16 + 8

Reorder the terms:
-3(-2 + x) + -30 = 5x + 16 + 8
(-2 * -3 + x * -3) + -30 = 5x + 16 + 8
(6 + -3x) + -30 = 5x + 16 + 8

Reorder the terms:
6 + -30 + -3x = 5x + 16 + 8

Combine like terms: 6 + -30 = -24
-24 + -3x = 5x + 16 + 8

Reorder the terms:
-24 + -3x = 16 + 8 + 5x

Combine like terms: 16 + 8 = 24
-24 + -3x = 24 + 5x

Solving
-24 + -3x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + -3x + -5x = 24 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-24 + -8x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + -8x = 24 + 0
-24 + -8x = 24

Add '24' to each side of the equation.
-24 + 24 + -8x = 24 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = 24 + 24
-8x = 24 + 24

Combine like terms: 24 + 24 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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