What is the answer to 1/4 (x+2)= 5/6 ?

The answer to 1/4 (x+2)= 5/6 is x= 4/3

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1/4 (x+2)= 5/6

\frac{1}{4} (x + 2) = \frac{5}{6}

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

\frac{1}{4} (x + 2) = \frac{5}{6}

Multiply both sides by

4

x + 2 = \frac{10}{3}

Move

2

to the right side

x = \frac{4}{3}

\frac{1}{2} (14 x + 2) = 3 (2 - 3 x)

\frac{1}{5} x = 7 - \frac{4}{5} x

- 7 x - 14 = 49

- 2 x + 1.5 = 4.5

(x + 2) (x - 3) = (x - 3)^{2}