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

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


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

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

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

Combine like terms: 3 + 5 = 8
8 + -1x = 3 + -2(3x + -1)

Reorder the terms:
8 + -1x = 3 + -2(-1 + 3x)
8 + -1x = 3 + (-1 * -2 + 3x * -2)
8 + -1x = 3 + (2 + -6x)

Combine like terms: 3 + 2 = 5
8 + -1x = 5 + -6x

Solving
8 + -1x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + -1x + 6x = 5 + -6x + 6x

Combine like terms: -1x + 6x = 5x
8 + 5x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 5x = 5 + 0
8 + 5x = 5

Add '-8' to each side of the equation.
8 + -8 + 5x = 5 + -8

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

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

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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