Solve 3/4x-2=5/12

$$\frac { 3 } { 4 } x - 2 = \frac { 5 } { 12 }$$

Solve for x

$$x = \frac{29}{9} = 3\frac{2}{9} \approx 3.222222222$$

Steps for Solving Linear Equation

Add 2 to both sides.

$$\frac{3}{4}x=\frac{5}{12}+2$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{3}{4}x=\frac{5}{12}+\frac{24}{12}$$

Since \frac{5}{12} and \frac{24}{12} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x=\frac{5+24}{12}$$

Add 5 and 24 to get 29.

$$\frac{3}{4}x=\frac{29}{12}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{29}{12}\times \frac{4}{3}$$

Multiply \frac{29}{12} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{29\times 4}{12\times 3}$$

Do the multiplications in the fraction \frac{29\times 4}{12\times 3}.

$$x=\frac{116}{36}$$

Reduce the fraction \frac{116}{36} to lowest terms by extracting and canceling out 4.

$$x=\frac{29}{9}$$