Linear Algebra Examples

$- \frac{2 a - 10 x}{3 a} + \frac{7 a - 7 x}{3 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (2 a - 10 x) + 7 a - 7 x}{3 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (2 a) - (- 10 x) + 7 a - 7 x}{3 a}$

Step 2.2

Multiply $2$ by $- 1$ .

$\frac{- 2 a - (- 10 x) + 7 a - 7 x}{3 a}$

Step 2.3

Multiply $- 10$ by $- 1$ .

$\frac{- 2 a + 10 x + 7 a - 7 x}{3 a}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 2 a$ and $7 a$ .

$\frac{5 a + 10 x - 7 x}{3 a}$

Step 3.2

Subtract $7 x$ from $10 x$ .

$\frac{5 a + 3 x}{3 a}$