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

The answer to -2/3 (x-5)= 3/2 (x+1) is x= 11/13

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-2/3 (x-5)= 3/2 (x+1)

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

x = \frac{11}{13}

Decimal Notation

x = 0.84615 \dots

Solution steps

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

Expand

- \frac{2}{3} (x - 5) : - \frac{2}{3} x + \frac{10}{3}

Expand

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

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

Move

\frac{10}{3}

to the right side

- \frac{2}{3} x = - \frac{11}{6} + \frac{3}{2} x

Move

\frac{3}{2} x

to the left side

- \frac{13}{6} x = - \frac{11}{6}

Multiply both sides by

6

- 13 x = - 11

Divide both sides by

- 13

x = \frac{11}{13}

12 (x + 2) + 5 \leq 3 (4 x + 1) + 3

3 x^{4} - 3 y^{4}

46.75 = \frac{2 π r}{360}

\frac{3}{2} x + 1 \leq \frac{5}{2} x + 2 \leq 3 x - \frac{2}{3}

\frac{q}{2} < 2

What is the answer to -2/3 (x-5)= 3/2 (x+1) ?
The answer to -2/3 (x-5)= 3/2 (x+1) is x= 11/13
Solve for x: -2/3 (x-5)= 3/2 (x+1)
The solution is x= 11/13