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

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


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

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

Combine like terms: 3 + 4 = 7
7 + -2x = 4 + -1(x + -2)

Reorder the terms:
7 + -2x = 4 + -1(-2 + x)
7 + -2x = 4 + (-2 * -1 + x * -1)
7 + -2x = 4 + (2 + -1x)

Combine like terms: 4 + 2 = 6
7 + -2x = 6 + -1x

Solving
7 + -2x = 6 + -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.
7 + -2x + x = 6 + -1x + x

Combine like terms: -2x + x = -1x
7 + -1x = 6 + -1x + x

Combine like terms: -1x + x = 0
7 + -1x = 6 + 0
7 + -1x = 6

Add '-7' to each side of the equation.
7 + -7 + -1x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 6 + -7
-1x = 6 + -7

Combine like terms: 6 + -7 = -1
-1x = -1

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

Simplifying
x = 1

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