Solve {left(x/2-3right)}^+m

$${ \left( \frac{ x }{ 2 } -3 \right) }^{ } +m$$

Evaluate

$$\frac{x}{2}+m-3$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.

$$\left(\frac{x}{2}-\frac{3\times 2}{2}\right)^{1}+m$$

Since \frac{x}{2} and \frac{3\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{x-3\times 2}{2}\right)^{1}+m$$

Do the multiplications in x-3\times 2.

$$\left(\frac{x-6}{2}\right)^{1}+m$$

Calculate \frac{x-6}{2} to the power of 1 and get \frac{x-6}{2}.

$$\frac{x-6}{2}+m$$

To add or subtract expressions, expand them to make their denominators the same. Multiply m times \frac{2}{2}.

$$\frac{x-6}{2}+\frac{2m}{2}$$

Since \frac{x-6}{2} and \frac{2m}{2} have the same denominator, add them by adding their numerators.

$$\frac{x-6+2m}{2}$$

Factor

$$\frac{x+2m-6}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{x-6+2m}{2}$$