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

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

Evaluate

$$\frac{29-3x}{2}$$

Solution Steps

Express 3\left(-\frac{1}{2}\right) as a single fraction.

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

Multiply 3 and -1 to get -3.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

Express 5\left(-\frac{5}{2}\right) as a single fraction.

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

Multiply 5 and -5 to get -25.

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

Fraction \frac{-25}{2} can be rewritten as -\frac{25}{2} by extracting the negative sign.

$$-\frac{3}{2}x-\left(-\frac{25}{2}\right)+2$$

The opposite of -\frac{25}{2} is \frac{25}{2}.

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

Convert 2 to fraction \frac{4}{2}.

$$-\frac{3}{2}x+\frac{25}{2}+\frac{4}{2}$$

Since \frac{25}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$-\frac{3}{2}x+\frac{25+4}{2}$$

Add 25 and 4 to get 29.

$$-\frac{3}{2}x+\frac{29}{2}$$

Factor

$$\frac{29-3x}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-3x+29}{2}$$

Consider -3x+25+4. Multiply and combine like terms.

$$-3x+29$$

Rewrite the complete factored expression.

$$\frac{-3x+29}{2}$$