Solve 1/2x+4/9=3/28

$$\frac { 1 } { 2 } x + \frac { 4 } { 9 } = \frac { 3 } { 28 }$$

Solve for x

$$x=-\frac{85}{126}\approx -0.674603175$$

Steps for Solving Linear Equation

Subtract \frac{4}{9} from both sides.

$$\frac{1}{2}x=\frac{3}{28}-\frac{4}{9}$$

Least common multiple of 28 and 9 is 252. Convert \frac{3}{28} and \frac{4}{9} to fractions with denominator 252.

$$\frac{1}{2}x=\frac{27}{252}-\frac{112}{252}$$

Since \frac{27}{252} and \frac{112}{252} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{27-112}{252}$$

Subtract 112 from 27 to get -85.

$$\frac{1}{2}x=-\frac{85}{252}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=-\frac{85}{252}\times 2$$

Express -\frac{85}{252}\times 2 as a single fraction.

$$x=\frac{-85\times 2}{252}$$

Multiply -85 and 2 to get -170.

$$x=\frac{-170}{252}$$

Reduce the fraction \frac{-170}{252} to lowest terms by extracting and canceling out 2.

$$x=-\frac{85}{126}$$