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

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


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

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

Remove parenthesis around (-5 + 3x)
8 + -5 + 3x = 5x + -1(3x + -5)

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

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

Reorder the terms:
3 + 3x = 5 + 5x + -3x

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

Solving
3 + 3x = 5 + 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.
3 + 3x + -2x = 5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 1x = 5 + 0
3 + 1x = 5

Add '-3' to each side of the equation.
3 + -3 + 1x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 5 + -3
1x = 5 + -3

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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