Solve x=38+(17/2-36)/4(6)

$$x = 38 + \frac { ( \frac { 17 } { 2 } - 36 ) } { 4 } ( 6 )$$

Solve for x

$$x = -\frac{13}{4} = -3\frac{1}{4} = -3.25$$

Steps for Solving Linear Equation

Convert 36 to fraction \frac{72}{2}.

$$x=38+\frac{\frac{17}{2}-\frac{72}{2}}{4}\times 6$$

Since \frac{17}{2} and \frac{72}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=38+\frac{\frac{17-72}{2}}{4}\times 6$$

Subtract 72 from 17 to get -55.

$$x=38+\frac{-\frac{55}{2}}{4}\times 6$$

Express \frac{-\frac{55}{2}}{4} as a single fraction.

$$x=38+\frac{-55}{2\times 4}\times 6$$

Multiply 2 and 4 to get 8.

$$x=38+\frac{-55}{8}\times 6$$

Fraction \frac{-55}{8} can be rewritten as -\frac{55}{8} by extracting the negative sign.

$$x=38-\frac{55}{8}\times 6$$

Express -\frac{55}{8}\times 6 as a single fraction.

$$x=38+\frac{-55\times 6}{8}$$

Multiply -55 and 6 to get -330.

$$x=38+\frac{-330}{8}$$

Reduce the fraction \frac{-330}{8} to lowest terms by extracting and canceling out 2.

$$x=38-\frac{165}{4}$$

Convert 38 to fraction \frac{152}{4}.

$$x=\frac{152}{4}-\frac{165}{4}$$

Since \frac{152}{4} and \frac{165}{4} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{152-165}{4}$$

Subtract 165 from 152 to get -13.

$$x=-\frac{13}{4}$$

Assign x

$$x≔-\frac{13}{4}$$