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

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Solution for 2(x-3)+5=(3x-1) equation:


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

Reorder the terms:
2(-3 + x) + 5 = (3x + -1)
(-3 * 2 + x * 2) + 5 = (3x + -1)
(-6 + 2x) + 5 = (3x + -1)

Reorder the terms:
-6 + 5 + 2x = (3x + -1)

Combine like terms: -6 + 5 = -1
-1 + 2x = (3x + -1)

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

Remove parenthesis around (-1 + 3x)
-1 + 2x = -1 + 3x

Add '1' to each side of the equation.
-1 + 1 + 2x = -1 + 1 + 3x

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

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

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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