Solve 1/4+7/12x=1

$$\frac { 1 } { 4 } + \frac { 7 } { 12 } x = 1$$

Solve for x

$$x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Subtract \frac{1}{4} from both sides.

$$\frac{7}{12}x=1-\frac{1}{4}$$

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

$$\frac{7}{12}x=\frac{4}{4}-\frac{1}{4}$$

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

$$\frac{7}{12}x=\frac{4-1}{4}$$

Subtract 1 from 4 to get 3.

$$\frac{7}{12}x=\frac{3}{4}$$

Multiply both sides by \frac{12}{7}, the reciprocal of \frac{7}{12}.

$$x=\frac{3}{4}\times \frac{12}{7}$$

Multiply \frac{3}{4} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 12}{4\times 7}$$

Do the multiplications in the fraction \frac{3\times 12}{4\times 7}.

$$x=\frac{36}{28}$$

Reduce the fraction \frac{36}{28} to lowest terms by extracting and canceling out 4.

$$x=\frac{9}{7}$$