Solve x=1/2-7(-1/4)/3

$$x = \frac{ \frac{ 1 }{ 2 } -7(- \frac{ 1 }{ 4 } ) }{ 3 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Express 7\left(-\frac{1}{4}\right) as a single fraction.

$$x=\frac{\frac{1}{2}-\frac{7\left(-1\right)}{4}}{3}$$

Multiply 7 and -1 to get -7.

$$x=\frac{\frac{1}{2}-\frac{-7}{4}}{3}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=\frac{\frac{1}{2}-\left(-\frac{7}{4}\right)}{3}$$

The opposite of -\frac{7}{4} is \frac{7}{4}.

$$x=\frac{\frac{1}{2}+\frac{7}{4}}{3}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{7}{4} to fractions with denominator 4.

$$x=\frac{\frac{2}{4}+\frac{7}{4}}{3}$$

Since \frac{2}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{2+7}{4}}{3}$$

Add 2 and 7 to get 9.

$$x=\frac{\frac{9}{4}}{3}$$

Express \frac{\frac{9}{4}}{3} as a single fraction.

$$x=\frac{9}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

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

Assign x

$$x≔\frac{3}{4}$$