5(x-1)=3x-10-8x

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Solution for 5(x-1)=3x-10-8x equation:


Simplifying
5(x + -1) = 3x + -10 + -8x

Reorder the terms:
5(-1 + x) = 3x + -10 + -8x
(-1 * 5 + x * 5) = 3x + -10 + -8x
(-5 + 5x) = 3x + -10 + -8x

Reorder the terms:
-5 + 5x = -10 + 3x + -8x

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

Solving
-5 + 5x = -10 + -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.
-5 + 5x + 5x = -10 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-5 + 10x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + 10x = -10 + 0
-5 + 10x = -10

Add '5' to each side of the equation.
-5 + 5 + 10x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = -10 + 5
10x = -10 + 5

Combine like terms: -10 + 5 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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