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

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


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

Reorder the terms:
2(-2 + x) = 3(4 + -1x)
(-2 * 2 + x * 2) = 3(4 + -1x)
(-4 + 2x) = 3(4 + -1x)
-4 + 2x = (4 * 3 + -1x * 3)
-4 + 2x = (12 + -3x)

Solving
-4 + 2x = 12 + -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 = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-4 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 5x = 12 + 0
-4 + 5x = 12

Add '4' to each side of the equation.
-4 + 4 + 5x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 12 + 4
5x = 12 + 4

Combine like terms: 12 + 4 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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