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

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


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

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

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

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

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

Remove parenthesis around (3 + 2x)
6 + -1x = 3 + 2x + -1x

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

Solving
6 + -1x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -1x + -1x = 3 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
6 + -2x = 3 + 0
6 + -2x = 3

Add '-6' to each side of the equation.
6 + -6 + -2x = 3 + -6

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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