3x+5-x=15-(3x-5)

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Solution for 3x+5-x=15-(3x-5) equation:


Simplifying
3x + 5 + -1x = 15 + -1(3x + -5)

Reorder the terms:
5 + 3x + -1x = 15 + -1(3x + -5)

Combine like terms: 3x + -1x = 2x
5 + 2x = 15 + -1(3x + -5)

Reorder the terms:
5 + 2x = 15 + -1(-5 + 3x)
5 + 2x = 15 + (-5 * -1 + 3x * -1)
5 + 2x = 15 + (5 + -3x)

Combine like terms: 15 + 5 = 20
5 + 2x = 20 + -3x

Solving
5 + 2x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 2x + 3x = 20 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
5 + 5x = 20 + 0
5 + 5x = 20

Add '-5' to each side of the equation.
5 + -5 + 5x = 20 + -5

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

Combine like terms: 20 + -5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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