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

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


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

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

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

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

Solving
-3 + -1x = 6 + 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.
-3 + -1x + -2x = 6 + 2x + -2x

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

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

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

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

Combine like terms: 6 + 3 = 9
-3x = 9

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

Simplifying
x = -3

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