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

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


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

Reorder the terms:
3(-2 + x) = 4(3 + -1x)
(-2 * 3 + x * 3) = 4(3 + -1x)
(-6 + 3x) = 4(3 + -1x)
-6 + 3x = (3 * 4 + -1x * 4)
-6 + 3x = (12 + -4x)

Solving
-6 + 3x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 3x + 4x = 12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-6 + 7x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 7x = 12 + 0
-6 + 7x = 12

Add '6' to each side of the equation.
-6 + 6 + 7x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 12 + 6
7x = 12 + 6

Combine like terms: 12 + 6 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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