What is the answer to 1/6+3/4 x=x ?

The answer to 1/6+3/4 x=x is x= 2/3

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1/6+3/4 x=x

\frac{1}{6} + \frac{3}{4} x = x

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{1}{6} + \frac{3}{4} x = x

Move

\frac{1}{6}

to the right side

\frac{3}{4} x = x - \frac{1}{6}

Move

x

to the left side

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

Multiply both sides by

- 4

x = \frac{2}{3}

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

\frac{3}{5} (t - 7) = 33

x, d = 5 x + 5 y

x, 6 x + 6 y = 18

6 - (8 - 4 n) = 2 (2 n - 1)