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

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Solution for 3(2-x)-4=1-2(x-2) equation:


Simplifying
3(2 + -1x) + -4 = 1 + -2(x + -2)
(2 * 3 + -1x * 3) + -4 = 1 + -2(x + -2)
(6 + -3x) + -4 = 1 + -2(x + -2)

Reorder the terms:
6 + -4 + -3x = 1 + -2(x + -2)

Combine like terms: 6 + -4 = 2
2 + -3x = 1 + -2(x + -2)

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

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

Solving
2 + -3x = 5 + -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.
2 + -3x + 2x = 5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + -1x = 5 + 0
2 + -1x = 5

Add '-2' to each side of the equation.
2 + -2 + -1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 5 + -2
-1x = 5 + -2

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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