Solve 8/9x-4=5/12

$$\frac { 8 } { 9 } x - 4 = \frac { 5 } { 12 }$$

Solve for x

$$x = \frac{159}{32} = 4\frac{31}{32} = 4.96875$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$\frac{8}{9}x=\frac{5}{12}+4$$

Convert 4 to fraction \frac{48}{12}.

$$\frac{8}{9}x=\frac{5}{12}+\frac{48}{12}$$

Since \frac{5}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$\frac{8}{9}x=\frac{5+48}{12}$$

Add 5 and 48 to get 53.

$$\frac{8}{9}x=\frac{53}{12}$$

Multiply both sides by \frac{9}{8}, the reciprocal of \frac{8}{9}.

$$x=\frac{53}{12}\times \frac{9}{8}$$

Multiply \frac{53}{12} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{53\times 9}{12\times 8}$$

Do the multiplications in the fraction \frac{53\times 9}{12\times 8}.

$$x=\frac{477}{96}$$

Reduce the fraction \frac{477}{96} to lowest terms by extracting and canceling out 3.

$$x=\frac{159}{32}$$