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

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


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

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

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

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

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

Reorder the terms:
6 + -1x = 6 + -1 + 2x

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

Solving
6 + -1x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -1x + -2x = 5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -3x = 5 + 0
6 + -3x = 5

Add '-6' to each side of the equation.
6 + -6 + -3x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 5 + -6
-3x = 5 + -6

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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