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

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


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

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

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

Solving
-4 + 2x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 2x + 3x = 6 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-4 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 5x = 6 + 0
-4 + 5x = 6

Add '4' to each side of the equation.
-4 + 4 + 5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 6 + 4
5x = 6 + 4

Combine like terms: 6 + 4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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