Algebra Examples

$\frac{4 x - 3}{2 x - 5} - \frac{4 x + 3}{2 x - 5}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 x - 3 - (4 x + 3)}{2 x - 5}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{4 x - 3 - (4 x) - 1 \cdot 3}{2 x - 5}$

Step 2.2

Multiply $4$ by $- 1$ .

$\frac{4 x - 3 - 4 x - 1 \cdot 3}{2 x - 5}$

Step 2.3

Multiply $- 1$ by $3$ .

$\frac{4 x - 3 - 4 x - 3}{2 x - 5}$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $4 x - 3 - 4 x - 3$ .

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Step 3.1.1

Subtract $4 x$ from $4 x$ .

$\frac{0 - 3 - 3}{2 x - 5}$

Step 3.1.2

Subtract $3$ from $0$ .

$\frac{- 3 - 3}{2 x - 5}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Subtract $3$ from $- 3$ .

$\frac{- 6}{2 x - 5}$

Step 3.2.2

Move the negative in front of the fraction.

$- \frac{6}{2 x - 5}$