Solve 3/2x-5/2+2,5x-9,5

$$\frac { 3 } { 2 } x - \frac { 5 } { 2 } + 2,5 x - 9,5$$

Evaluate

$$4\left(x-3\right)$$

Solution Steps

Combine \frac{3}{2}x and 2,5x to get 4x.

$$4x-\frac{5}{2}-9,5$$

Convert decimal number 9,5 to fraction \frac{95}{10}. Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$4x-\frac{5}{2}-\frac{19}{2}$$

Since -\frac{5}{2} and \frac{19}{2} have the same denominator, subtract them by subtracting their numerators.

$$4x+\frac{-5-19}{2}$$

Subtract 19 from -5 to get -24.

$$4x+\frac{-24}{2}$$

Divide -24 by 2 to get -12.

$$4x-12$$

Factor

$$4\left(x-3\right)$$

Solution Steps

Combine \frac{3}{2}x and 2,5x to get 4x.

$$factor(4x-\frac{5}{2}-9,5)$$

Convert decimal number 9,5 to fraction \frac{95}{10}. Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$factor(4x-\frac{5}{2}-\frac{19}{2})$$

Since -\frac{5}{2} and \frac{19}{2} have the same denominator, subtract them by subtracting their numerators.

$$factor(4x+\frac{-5-19}{2})$$

Subtract 19 from -5 to get -24.

$$factor(4x+\frac{-24}{2})$$

Divide -24 by 2 to get -12.

$$factor(4x-12)$$

Factor out 4.

$$4\left(x-3\right)$$