Solve 3/2x-5/2+25x-95

$$\frac { 3 } { 2 } x - \frac { 5 } { 2 } + 25 x - 95$$

Evaluate

$$\frac{53x-195}{2}$$

Solution Steps

Combine \frac{3}{2}x and 25x to get \frac{53}{2}x.

$$\frac{53}{2}x-\frac{5}{2}-95$$

Convert 95 to fraction \frac{190}{2}.

$$\frac{53}{2}x-\frac{5}{2}-\frac{190}{2}$$

Since -\frac{5}{2} and \frac{190}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53}{2}x+\frac{-5-190}{2}$$

Subtract 190 from -5 to get -195.

$$\frac{53}{2}x-\frac{195}{2}$$

Factor

$$\frac{53x-195}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{53x-195}{2}$$

Consider 3x-5+50x-190. Multiply and combine like terms.

$$53x-195$$

Rewrite the complete factored expression.

$$\frac{53x-195}{2}$$