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

The answer to (3/2)x+2=(1/2)-(1/3)x is x=-9/11

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

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

x = - \frac{9}{11}

Decimal Notation

x = - 0.81818 \dots

Solution steps

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

Expand

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

Expand

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

\frac{3}{2} x + 2 = \frac{1}{2} - \frac{1}{3} x

Move

2

to the right side

\frac{3}{2} x = - \frac{3}{2} - \frac{1}{3} x

Move

\frac{1}{3} x

to the left side

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

Multiply both sides by

6

11 x = - 9

Divide both sides by

11

x = - \frac{9}{11}

50 \leq 0.004 x^{2} - x + 80

((\frac{- 2}{6})^{- 4})^{2}

- 2 x^{2} + 122 = 24

63

\frac{∣ x + 6 ∣}{8} \leq 1

What is the answer to (3/2)x+2=(1/2)-(1/3)x ?
The answer to (3/2)x+2=(1/2)-(1/3)x is x=-9/11
Solve for x: (3/2)x+2=(1/2)-(1/3)x
The solution is x=-9/11