Solve g+3/2+g+2/3=-1/2

$$\frac { g + 3 } { 2 } + \frac { g + 2 } { 3 } = - \frac { 1 } { 2 }$$

Solve for g

$$g = -\frac{16}{5} = -3\frac{1}{5} = -3.2$$

Steps for Solving Linear Equation

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

$$3\left(g+3\right)+2\left(g+2\right)=-3$$

Use the distributive property to multiply 3 by g+3.

$$3g+9+2\left(g+2\right)=-3$$

Use the distributive property to multiply 2 by g+2.

$$3g+9+2g+4=-3$$

Combine 3g and 2g to get 5g.

$$5g+9+4=-3$$

Add 9 and 4 to get 13.

$$5g+13=-3$$

Subtract 13 from both sides.

$$5g=-3-13$$

Subtract 13 from -3 to get -16.

$$5g=-16$$

Divide both sides by 5.

$$g=\frac{-16}{5}$$

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$g=-\frac{16}{5}$$