Simplify 4(5/4x+3/2)

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

Step 1

Combine $\frac{5}{4}$ and $x$ .

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

Step 2

Apply the distributive property.

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

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 4

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

$5 x + 2 \cdot 2 \frac{3}{2}$

Rewrite the expression.

$5 x + 2 \cdot 3$

$5 x + 2 \cdot 3$

Step 5

Multiply $2$ by $3$ .

$5 x + 6$

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