What is the answer to 5/2 (x+1/3)-5/3 = 83/12+2/7 x ?

The answer to 5/2 (x+1/3)-5/3 = 83/12+2/7 x is x= 7/2

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5/2 (x+1/3)-5/3 = 83/12+2/7 x

\frac{5}{2} (x + \frac{1}{3}) - \frac{5}{3} = \frac{83}{12} + \frac{2}{7} x

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

\frac{5}{2} (x + \frac{1}{3}) - \frac{5}{3} = \frac{83}{12} + \frac{2}{7} x

Expand

\frac{5}{2} (x + \frac{1}{3}) - \frac{5}{3} : - \frac{5}{6} + \frac{5}{2} x

- \frac{5}{6} + \frac{5}{2} x = \frac{83}{12} + \frac{2}{7} x

Move

\frac{5}{6}

to the right side

\frac{5}{2} x = \frac{31}{4} + \frac{2}{7} x

Move

\frac{2}{7} x

to the left side

\frac{31}{14} x = \frac{31}{4}

Multiply both sides by

14

31 x = \frac{217}{2}

Divide both sides by

31

x = \frac{7}{2}

∣ 8 - 7 x ∣ = 8

9 0^{2} + 9 0^{2} = x^{2}

4 x^{2} - 6 x + 30

\frac{a}{4} + \frac{2}{4} \leq \frac{a}{3} - \frac{1}{3}

What is the answer to 5/2 (x+1/3)-5/3 = 83/12+2/7 x ?
The answer to 5/2 (x+1/3)-5/3 = 83/12+2/7 x is x= 7/2
Solve for x: 5/2 (x+1/3)-5/3 = 83/12+2/7 x
The solution is x= 7/2