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

$4 x (2 (x - 3) + 5)$

Step 1

Simplify each term.

Apply the distributive property.

$4 x (2 x + 2 \cdot - 3 + 5)$

Multiply $2$ by $- 3$ .

$4 x (2 x - 6 + 5)$

Step 2

Simplify by multiplying through.

Add $- 6$ and $5$ .

$4 x (2 x - 1)$

Apply the distributive property.

$4 x (2 x) + 4 x \cdot - 1$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x \cdot x + 4 x \cdot - 1$

Multiply $- 1$ by $4$ .

$4 \cdot 2 x \cdot x - 4 x$

Step 3

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 \cdot 2 (x \cdot x) - 4 x$

Multiply $x$ by $x$ .

$4 \cdot 2 x^{2} - 4 x$

Multiply $4$ by $2$ .

$8 x^{2} - 4 x$