Algebra Examples

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

Step 1

Combine the numerators over the common denominator.

$\frac{- 4 x + 3 - (- x + 2)}{3}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- 4 x + 3 - - x - 1 \cdot 2}{3}$

Step 2.2

Multiply $- - x$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$\frac{- 4 x + 3 + 1 x - 1 \cdot 2}{3}$

Step 2.2.2

Multiply $x$ by $1$ .

$\frac{- 4 x + 3 + x - 1 \cdot 2}{3}$

$\frac{- 4 x + 3 + x - 1 \cdot 2}{3}$

Step 2.3

Multiply $- 1$ by $2$ .

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

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

Step 3

Simplify terms.

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Step 3.1

Add $- 4 x$ and $x$ .

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

Step 3.2

Subtract $2$ from $3$ .

$\frac{- 3 x + 1}{3}$

Step 3.3

Factor $- 1$ out of $- 3 x$ .

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

Step 3.4

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- (3 x) - 1 (- 1)}{3}$

Step 3.5

Factor $- 1$ out of $- (3 x) - 1 (- 1)$ .

$\frac{- (3 x - 1)}{3}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (3 x - 1)$ as $- 1 (3 x - 1)$ .

$\frac{- 1 (3 x - 1)}{3}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{3 x - 1}{3}$

$- \frac{3 x - 1}{3}$

$- \frac{3 x - 1}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$