What is the answer to 4/6 (x+1/2+4)= 1/6 (x+2) ?

The answer to 4/6 (x+1/2+4)= 1/6 (x+2) is x=-16/3

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4/6 (x+1/2+4)= 1/6 (x+2)

\frac{4}{6} (x + \frac{1}{2} + 4) = \frac{1}{6} (x + 2)

x = - \frac{16}{3}

Solution steps

\frac{4}{6} (x + \frac{1}{2} + 4) = \frac{1}{6} (x + 2)

Expand

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

Expand

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

\frac{2 x}{3} + 3 = \frac{1}{6} x + \frac{1}{3}

Move

3

to the right side

\frac{2 x}{3} = - \frac{8}{3} + \frac{1}{6} x

Move

\frac{1}{6} x

to the left side

\frac{x}{2} = - \frac{8}{3}

Multiply both sides by

2

x = - \frac{16}{3}

\frac{5}{8} \cdot 4

3 x^{2} = 240

- 2 (- 3 x - 2) - 5 x + 3 = - 2

4 x^{2} = 32

What is the answer to 4/6 (x+1/2+4)= 1/6 (x+2) ?
The answer to 4/6 (x+1/2+4)= 1/6 (x+2) is x=-16/3
Solve for x: 4/6 (x+1/2+4)= 1/6 (x+2)
The solution is x=-16/3