Solve -1/4=1/2x-8/7

$$- \frac { 1 } { 4 } = \frac { 1 } { 2 } x - \frac { 8 } { 7 }$$

Solve for x

$$x = \frac{25}{14} = 1\frac{11}{14} \approx 1.785714286$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{2}x-\frac{8}{7}=-\frac{1}{4}$$

Add \frac{8}{7} to both sides.

$$\frac{1}{2}x=-\frac{1}{4}+\frac{8}{7}$$

Least common multiple of 4 and 7 is 28. Convert -\frac{1}{4} and \frac{8}{7} to fractions with denominator 28.

$$\frac{1}{2}x=-\frac{7}{28}+\frac{32}{28}$$

Since -\frac{7}{28} and \frac{32}{28} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{-7+32}{28}$$

Add -7 and 32 to get 25.

$$\frac{1}{2}x=\frac{25}{28}$$

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

$$x=\frac{25}{28}\times 2$$

Express \frac{25}{28}\times 2 as a single fraction.

$$x=\frac{25\times 2}{28}$$

Multiply 25 and 2 to get 50.

$$x=\frac{50}{28}$$

Reduce the fraction \frac{50}{28} to lowest terms by extracting and canceling out 2.

$$x=\frac{25}{14}$$