Solve -5/3+(x-1)*2^-1

$$- \frac { 5 } { 3 } + ( x - 1 ) \cdot 2 ^ { - 1 }$$

Evaluate

$$\frac{x}{2}-\frac{13}{6}$$

Solution Steps

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

$$-\frac{5}{3}+\left(x-1\right)\times \frac{1}{2}$$

Use the distributive property to multiply x-1 by \frac{1}{2}.

$$-\frac{5}{3}+\frac{1}{2}x-\frac{1}{2}$$

Subtract \frac{1}{2} from -\frac{5}{3} to get -\frac{13}{6}.

$$-\frac{13}{6}+\frac{1}{2}x$$

Expand

$$\frac{x}{2}-\frac{13}{6}$$

Solution Steps

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

$$-\frac{5}{3}+\left(x-1\right)\times \frac{1}{2}$$

Use the distributive property to multiply x-1 by \frac{1}{2}.

$$-\frac{5}{3}+\frac{1}{2}x-\frac{1}{2}$$

Subtract \frac{1}{2} from -\frac{5}{3} to get -\frac{13}{6}.

$$-\frac{13}{6}+\frac{1}{2}x$$