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

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


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

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

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

Solving
-1 + 3x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-1 + 3x + 5x = 15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-1 + 8x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1 + 8x = 15 + 0
-1 + 8x = 15

Add '1' to each side of the equation.
-1 + 1 + 8x = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 15 + 1
8x = 15 + 1

Combine like terms: 15 + 1 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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