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

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


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

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

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

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

Combine like terms: x + -2x = -1x
-4 + 2x = -3 + -1x

Solving
-4 + 2x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 2x + x = -3 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = -3 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = -3 + 0
-4 + 3x = -3

Add '4' to each side of the equation.
-4 + 4 + 3x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -3 + 4
3x = -3 + 4

Combine like terms: -3 + 4 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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