Solve 22/3+3x/2=1/2-4/3

$$\frac { 22 } { 3 } + \frac { 3 x } { 2 } = \frac { 1 } { 2 } - \frac { 4 } { 3 }$$

Solve for x

$$x = -\frac{49}{9} = -5\frac{4}{9} \approx -5.444444444$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$44+3\times 3x=3-8$$

Multiply 3 and 3 to get 9.

$$44+9x=3-8$$

Subtract 8 from 3 to get -5.

$$44+9x=-5$$

Subtract 44 from both sides.

$$9x=-5-44$$

Subtract 44 from -5 to get -49.

$$9x=-49$$

Divide both sides by 9.

$$x=\frac{-49}{9}$$

Fraction \frac{-49}{9} can be rewritten as -\frac{49}{9} by extracting the negative sign.

$$x=-\frac{49}{9}$$