Algebra Examples

$\frac{3}{4} (24 x + 28) - (4 x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$\frac{3}{4} (24 x) + \frac{3}{4} \cdot 28 - (4 x - 1)$

Step 1.2

Cancel the common factor of $4$ .

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Step 1.2.1

Factor $4$ out of $24 x$ .

$\frac{3}{4} (4 (6 x)) + \frac{3}{4} \cdot 28 - (4 x - 1)$

Step 1.2.2

Cancel the common factor.

$\frac{3}{4} (4 (6 x)) + \frac{3}{4} \cdot 28 - (4 x - 1)$

Step 1.2.3

Rewrite the expression.

$3 (6 x) + \frac{3}{4} \cdot 28 - (4 x - 1)$

Step 1.3

Multiply $6$ by $3$ .

$18 x + \frac{3}{4} \cdot 28 - (4 x - 1)$

Step 1.4

Cancel the common factor of $4$ .

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Step 1.4.1

Factor $4$ out of $28$ .

$18 x + \frac{3}{4} \cdot (4 (7)) - (4 x - 1)$

Step 1.4.2

Cancel the common factor.

$18 x + \frac{3}{4} \cdot (4 \cdot 7) - (4 x - 1)$

Step 1.4.3

Rewrite the expression.

$18 x + 3 \cdot 7 - (4 x - 1)$

Step 1.5

Multiply $3$ by $7$ .

$18 x + 21 - (4 x - 1)$

Step 1.6

Apply the distributive property.

$18 x + 21 - (4 x) - - 1$

Step 1.7

Multiply $4$ by $- 1$ .

$18 x + 21 - 4 x - - 1$

Step 1.8

Multiply $- 1$ by $- 1$ .

$18 x + 21 - 4 x + 1$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 x$ from $18 x$ .

$14 x + 21 + 1$

Step 2.2

Add $21$ and $1$ .

$14 x + 22$