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

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


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

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

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

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

Solving
-1 + -2x = 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.
-1 + -2x + -1x = 5 + x + -1x

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

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

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

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

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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