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

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


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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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