Solve 1/8x=25-1/2

$$\frac{ 1 }{ 8 } x=25- \frac{ 1 }{ 2 }$$

Solve for x

$$x=196$$

Steps for Solving Linear Equation

Convert 25 to fraction \frac{50}{2}.

$$\frac{1}{8}x=\frac{50}{2}-\frac{1}{2}$$

Since \frac{50}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{8}x=\frac{50-1}{2}$$

Subtract 1 from 50 to get 49.

$$\frac{1}{8}x=\frac{49}{2}$$

Multiply both sides by 8, the reciprocal of \frac{1}{8}.

$$x=\frac{49}{2}\times 8$$

Express \frac{49}{2}\times 8 as a single fraction.

$$x=\frac{49\times 8}{2}$$

Multiply 49 and 8 to get 392.

$$x=\frac{392}{2}$$

Divide 392 by 2 to get 196.

$$x=196$$