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

The answer to 1/2 (x-1/4)= 1/6 x is x= 3/8

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

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

x = \frac{3}{8}

Decimal Notation

x = 0.375

Solution steps

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

Expand

\frac{1}{2} (x - \frac{1}{4}) : \frac{1}{2} x - \frac{1}{8}

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

Move

\frac{1}{8}

to the right side

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

Move

\frac{1}{6} x

to the left side

\frac{1}{3} x = \frac{1}{8}

Multiply both sides by

3

x = \frac{3}{8}

- 5 < x \leq 9

5 w^{2} - 18 w - 35 = 0

8 + \frac{b}{3} = 5

2 x^{2} - 4 x - 16 = 0

\frac{3 x}{2} = 5

What is the answer to 1/2 (x-1/4)= 1/6 x ?
The answer to 1/2 (x-1/4)= 1/6 x is x= 3/8
Solve for x: 1/2 (x-1/4)= 1/6 x
The solution is x= 3/8