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

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


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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + -1(2x + 2) = x + 5

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

Reorder the terms:
-1 + -2 + 2x + -2x = x + 5

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

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

Reorder the terms:
-3 = 5 + x

Solving
-3 = 5 + x

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.
-3 + -1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-3 + -1x = 5 + 0
-3 + -1x = 5

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

Combine like terms: -3 + 3 = 0
0 + -1x = 5 + 3
-1x = 5 + 3

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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