2(3x-4)=4(12-x)

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Solution for 2(3x-4)=4(12-x) equation:


Simplifying
2(3x + -4) = 4(12 + -1x)

Reorder the terms:
2(-4 + 3x) = 4(12 + -1x)
(-4 * 2 + 3x * 2) = 4(12 + -1x)
(-8 + 6x) = 4(12 + -1x)
-8 + 6x = (12 * 4 + -1x * 4)
-8 + 6x = (48 + -4x)

Solving
-8 + 6x = 48 + -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.
-8 + 6x + 4x = 48 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-8 + 10x = 48 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 10x = 48 + 0
-8 + 10x = 48

Add '8' to each side of the equation.
-8 + 8 + 10x = 48 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 48 + 8
10x = 48 + 8

Combine like terms: 48 + 8 = 56
10x = 56

Divide each side by '10'.
x = 5.6

Simplifying
x = 5.6

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