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

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

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

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 4 = 6 x

Expand

(2 x - 1) \cdot 4 : 8 x - 4

8 x - 4 = 6 x

Move

4

to the right side

8 x = 6 x + 4

Move

6 x

to the left side

2 x = 4

Divide both sides by

2

x = 2

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

5 d^{2} + 19 d + 16 = 0

12 x^{2} - 24 x + 8

∣ x - 7 ∣ = - 5

x^{2} + 7 x - 98