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

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


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

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

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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 2 + 3

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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