Solve g+5/2-9+g/4=4g

$$\frac { g + 5 } { 2 } - \frac { 9 + g } { 4 } = 4 g$$

Solve for g

$$g=\frac{1}{15}\approx 0.066666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(g+5\right)-\left(9+g\right)=16g$$

Use the distributive property to multiply 2 by g+5.

$$2g+10-\left(9+g\right)=16g$$

To find the opposite of 9+g, find the opposite of each term.

$$2g+10-9-g=16g$$

Subtract 9 from 10 to get 1.

$$2g+1-g=16g$$

Combine 2g and -g to get g.

$$g+1=16g$$

Subtract 16g from both sides.

$$g+1-16g=0$$

Combine g and -16g to get -15g.

$$-15g+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-15g=-1$$

Divide both sides by -15.

$$g=\frac{-1}{-15}$$

Fraction \frac{-1}{-15} can be simplified to \frac{1}{15} by removing the negative sign from both the numerator and the denominator.

$$g=\frac{1}{15}$$