What is the answer to 1/2 x-1/3 (x-4)=3x ?

The answer to 1/2 x-1/3 (x-4)=3x is x= 8/17

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1/2 x-1/3 (x-4)=3x

\frac{1}{2} x - \frac{1}{3} (x - 4) = 3 x

x = \frac{8}{17}

Decimal Notation

x = 0.47058 \dots

Solution steps

\frac{1}{2} x - \frac{1}{3} (x - 4) = 3 x

Expand

\frac{1}{2} x - \frac{1}{3} (x - 4) : \frac{x}{6} + \frac{4}{3}

\frac{x}{6} + \frac{4}{3} = 3 x

Move

\frac{4}{3}

to the right side

\frac{x}{6} = 3 x - \frac{4}{3}

Multiply both sides by

6

x = 18 x - 8

Move

18 x

to the left side

- 17 x = - 8

Divide both sides by

- 17

x = \frac{8}{17}

3 x^{2} - 4 x - 4 = 0

(x y + \frac{z}{2})^{2}

e^{l n (3)}

2 x - x = 3 x - 12

\frac{12 !}{4 ! 8 !}

What is the answer to 1/2 x-1/3 (x-4)=3x ?
The answer to 1/2 x-1/3 (x-4)=3x is x= 8/17
Solve for x: 1/2 x-1/3 (x-4)=3x
The solution is x= 8/17