5(x-2)-3x=8x-8

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


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

Reorder the terms:
5(-2 + x) + -3x = 8x + -8
(-2 * 5 + x * 5) + -3x = 8x + -8
(-10 + 5x) + -3x = 8x + -8

Combine like terms: 5x + -3x = 2x
-10 + 2x = 8x + -8

Reorder the terms:
-10 + 2x = -8 + 8x

Solving
-10 + 2x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 2x + -8x = -8 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-10 + -6x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -6x = -8 + 0
-10 + -6x = -8

Add '10' to each side of the equation.
-10 + 10 + -6x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -8 + 10
-6x = -8 + 10

Combine like terms: -8 + 10 = 2
-6x = 2

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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