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

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


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

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

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

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

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

Solving
-5 + 3x = 3 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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