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

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


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

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

Combine like terms: 3 + -5 = -2
-2 + -1x = 5x + -8

Reorder the terms:
-2 + -1x = -8 + 5x

Solving
-2 + -1x = -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.
-2 + -1x + -5x = -8 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-2 + -6x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -6x = -8 + 0
-2 + -6x = -8

Add '2' to each side of the equation.
-2 + 2 + -6x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -8 + 2
-6x = -8 + 2

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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