Algebra Examples

$(4 x + \frac{3}{4}) + (- 3 x - \frac{5}{12})$

Step 1

Remove parentheses.

$4 x + \frac{3}{4} - 3 x - \frac{5}{12}$

Step 2

Subtract $3 x$ from $4 x$ .

$x + \frac{3}{4} - \frac{5}{12}$

Step 3

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x + \frac{3}{4} \cdot \frac{3}{3} - \frac{5}{12}$

Step 4

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$x + \frac{3 \cdot 3}{4 \cdot 3} - \frac{5}{12}$

Step 4.2

Multiply $4$ by $3$ .

$x + \frac{3 \cdot 3}{12} - \frac{5}{12}$

Step 5

Combine the numerators over the common denominator.

$x + \frac{3 \cdot 3 - 5}{12}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $3$ by $3$ .

$x + \frac{9 - 5}{12}$

Step 6.2

Subtract $5$ from $9$ .

$x + \frac{4}{12}$

Step 7

Cancel the common factor of $4$ and $12$ .

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Step 7.1

Factor $4$ out of $4$ .

$x + \frac{4 (1)}{12}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $4$ out of $12$ .

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

Step 7.2.2

Cancel the common factor.

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

Step 7.2.3

Rewrite the expression.

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