-5(x-6)=3x+8

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Solution for -5(x-6)=3x+8 equation:


Simplifying
-5(x + -6) = 3x + 8

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

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

Solving
30 + -5x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + -5x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
30 + -8x = 8 + 0
30 + -8x = 8

Add '-30' to each side of the equation.
30 + -30 + -8x = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = 8 + -30
-8x = 8 + -30

Combine like terms: 8 + -30 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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