5-(3x+8)=13-5x

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Solution for 5-(3x+8)=13-5x equation:


Simplifying
5 + -1(3x + 8) = 13 + -5x

Reorder the terms:
5 + -1(8 + 3x) = 13 + -5x
5 + (8 * -1 + 3x * -1) = 13 + -5x
5 + (-8 + -3x) = 13 + -5x

Combine like terms: 5 + -8 = -3
-3 + -3x = 13 + -5x

Solving
-3 + -3x = 13 + -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.
-3 + -3x + 5x = 13 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-3 + 2x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 2x = 13 + 0
-3 + 2x = 13

Add '3' to each side of the equation.
-3 + 3 + 2x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 13 + 3
2x = 13 + 3

Combine like terms: 13 + 3 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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