3(12x-16)=4(12-3x)

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Solution for 3(12x-16)=4(12-3x) equation:


Simplifying
3(12x + -16) = 4(12 + -3x)

Reorder the terms:
3(-16 + 12x) = 4(12 + -3x)
(-16 * 3 + 12x * 3) = 4(12 + -3x)
(-48 + 36x) = 4(12 + -3x)
-48 + 36x = (12 * 4 + -3x * 4)
-48 + 36x = (48 + -12x)

Solving
-48 + 36x = 48 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-48 + 36x + 12x = 48 + -12x + 12x

Combine like terms: 36x + 12x = 48x
-48 + 48x = 48 + -12x + 12x

Combine like terms: -12x + 12x = 0
-48 + 48x = 48 + 0
-48 + 48x = 48

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

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

Combine like terms: 48 + 48 = 96
48x = 96

Divide each side by '48'.
x = 2

Simplifying
x = 2

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