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

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


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

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

Solving
-12 + 3x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + 3x + 8x = 12 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-12 + 11x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 11x = 12 + 0
-12 + 11x = 12

Add '12' to each side of the equation.
-12 + 12 + 11x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 11x = 12 + 12
11x = 12 + 12

Combine like terms: 12 + 12 = 24
11x = 24

Divide each side by '11'.
x = 2.181818182

Simplifying
x = 2.181818182

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