Solve -9+x/7+4

$$- 9 + \frac { x } { 7 } + 4$$

Evaluate

$$\frac{x}{7}-5$$

Short Solution Steps

Add -9 and 4 to get -5.

$$-5+\frac{x}{7}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -5 times \frac{7}{7}.

$$-\frac{5\times 7}{7}+\frac{x}{7}$$

Since -\frac{5\times 7}{7} and \frac{x}{7} have the same denominator, add them by adding their numerators.

$$\frac{-5\times 7+x}{7}$$

Do the multiplications in -5\times 7+x.

$$\frac{-35+x}{7}$$

Factor

$$\frac{x-35}{7}$$

Solution Steps

Factor out \frac{1}{7}.

$$\frac{-35+x}{7}$$

Consider -63+x+28. Multiply and combine like terms.

$$x-35$$

Rewrite the complete factored expression.

$$\frac{x-35}{7}$$