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

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


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

Reorder the terms:
2(2 + x) = 2(x + 1) + -1(2x + -3)
(2 * 2 + x * 2) = 2(x + 1) + -1(2x + -3)
(4 + 2x) = 2(x + 1) + -1(2x + -3)

Reorder the terms:
4 + 2x = 2(1 + x) + -1(2x + -3)
4 + 2x = (1 * 2 + x * 2) + -1(2x + -3)
4 + 2x = (2 + 2x) + -1(2x + -3)

Reorder the terms:
4 + 2x = 2 + 2x + -1(-3 + 2x)
4 + 2x = 2 + 2x + (-3 * -1 + 2x * -1)
4 + 2x = 2 + 2x + (3 + -2x)

Reorder the terms:
4 + 2x = 2 + 3 + 2x + -2x

Combine like terms: 2 + 3 = 5
4 + 2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = 5 + 0
4 + 2x = 5

Solving
4 + 2x = 5

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 5 + -4
2x = 5 + -4

Combine like terms: 5 + -4 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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