How to solve 2a / 3 - a + 6

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2a / 3 - a + 6 | Equatix

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Question

$$2\times a\div3-a+6$$

Evaluate

$-\frac{a}{3}+6$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $-a+6$ times $\frac{3}{3}$.

$$\frac{2a}{3}+\frac{3\left(-a+6\right)}{3}$$

Since $\frac{2a}{3}$ and $\frac{3\left(-a+6\right)}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{2a+3\left(-a+6\right)}{3}$$

Do the multiplications in $2a+3\left(-a+6\right)$.

$$\frac{2a-3a+18}{3}$$

Combine like terms in $2a-3a+18$.

$$\frac{-a+18}{3}$$

Show Solution

Factor

$\frac{18-a}{3}$

Solution Steps

Factor out $\frac{1}{3}$.