Solve 5/12x-1/4=1

$$\frac { 5 } { 12 } x - \frac { 1 } { 4 } = 1$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Add \frac{1}{4} to both sides.

$$\frac{5}{12}x=1+\frac{1}{4}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{5}{12}x=\frac{4}{4}+\frac{1}{4}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{5}{12}x=\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{12}x=\frac{5}{4}$$

Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.

$$x=\frac{5}{4}\times \frac{12}{5}$$

Multiply \frac{5}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 12}{4\times 5}$$

Cancel out 5 in both numerator and denominator.

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

Divide 12 by 4 to get 3.

$$x=3$$