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

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


Simplifying
3x + 5 = 5 + -1(2x + -8)

Reorder the terms:
5 + 3x = 5 + -1(2x + -8)

Reorder the terms:
5 + 3x = 5 + -1(-8 + 2x)
5 + 3x = 5 + (-8 * -1 + 2x * -1)
5 + 3x = 5 + (8 + -2x)

Combine like terms: 5 + 8 = 13
5 + 3x = 13 + -2x

Solving
5 + 3x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + 3x + 2x = 13 + -2x + 2x

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

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 13 + -5

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

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

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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