Solve 1/4x+240=5/8

$$\frac { 1 } { 4 } x + 240 = \frac { 5 } { 8 }$$

Solve for x

$$x = -\frac{1915}{2} = -957\frac{1}{2} = -957.5$$

Steps for Solving Linear Equation

Subtract 240 from both sides.

$$\frac{1}{4}x=\frac{5}{8}-240$$

Convert 240 to fraction \frac{1920}{8}.

$$\frac{1}{4}x=\frac{5}{8}-\frac{1920}{8}$$

Since \frac{5}{8} and \frac{1920}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x=\frac{5-1920}{8}$$

Subtract 1920 from 5 to get -1915.

$$\frac{1}{4}x=-\frac{1915}{8}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=-\frac{1915}{8}\times 4$$

Express -\frac{1915}{8}\times 4 as a single fraction.

$$x=\frac{-1915\times 4}{8}$$

Multiply -1915 and 4 to get -7660.

$$x=\frac{-7660}{8}$$

Reduce the fraction \frac{-7660}{8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{1915}{2}$$