What is the answer to 2/3 x+4= 5/6 ?

The answer to 2/3 x+4= 5/6 is x=-19/4

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2/3 x+4= 5/6

\frac{2}{3} x + 4 = \frac{5}{6}

x = - \frac{19}{4}

Solution steps

\frac{2}{3} x + 4 = \frac{5}{6}

Move

4

to the right side

\frac{2}{3} x = - \frac{19}{6}

Multiply both sides by

3

2 x = - \frac{19}{2}

Divide both sides by

2

x = - \frac{19}{4}

- x + 7 = - 6 x - 13

(x - 9) (x + 7) = 0

(x - 1) (2 x + 1) = 0

9 x^{2} + 8 x = 0

\frac{x}{12} = \frac{8}{3}