2x-4=2-(x-3)

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Solution for 2x-4=2-(x-3) equation:


Simplifying
2x + -4 = 2 + -1(x + -3)

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

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

Combine like terms: 2 + 3 = 5
-4 + 2x = 5 + -1x

Solving
-4 + 2x = 5 + -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 = 5 + -1x + x

Combine like terms: 2x + x = 3x
-4 + 3x = 5 + -1x + x

Combine like terms: -1x + x = 0
-4 + 3x = 5 + 0
-4 + 3x = 5

Add '4' to each side of the equation.
-4 + 4 + 3x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 5 + 4
3x = 5 + 4

Combine like terms: 5 + 4 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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