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

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


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

Reorder the terms:
5 + -3(-5 + x) = x + 8 + -6x
5 + (-5 * -3 + x * -3) = x + 8 + -6x
5 + (15 + -3x) = x + 8 + -6x

Combine like terms: 5 + 15 = 20
20 + -3x = x + 8 + -6x

Reorder the terms:
20 + -3x = 8 + x + -6x

Combine like terms: x + -6x = -5x
20 + -3x = 8 + -5x

Solving
20 + -3x = 8 + -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.
20 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
20 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 2x = 8 + 0
20 + 2x = 8

Add '-20' to each side of the equation.
20 + -20 + 2x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 8 + -20
2x = 8 + -20

Combine like terms: 8 + -20 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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