Simplify (5x+5-2x)(4+7x-1)

$(5 x + 5 - 2 x) (4 + 7 x - 1)$

Simplify by adding terms.

Subtract $2 x$ from $5 x$ .

$(3 x + 5) (4 + 7 x - 1)$

Subtract $1$ from $4$ .

$(3 x + 5) (7 x + 3)$

Expand $(3 x + 5) (7 x + 3)$ using the FOIL Method.

Apply the distributive property.

$3 x (7 x + 3) + 5 (7 x + 3)$

Apply the distributive property.

$3 x (7 x) + 3 x \cdot 3 + 5 (7 x + 3)$

Apply the distributive property.

$3 x (7 x) + 3 x \cdot 3 + 5 (7 x) + 5 \cdot 3$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 7 x \cdot x + 3 x \cdot 3 + 5 (7 x) + 5 \cdot 3$

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

Move $x$ .

$3 \cdot 7 (x \cdot x) + 3 x \cdot 3 + 5 (7 x) + 5 \cdot 3$

Multiply $x$ by $x$ .

$3 \cdot 7 x^{2} + 3 x \cdot 3 + 5 (7 x) + 5 \cdot 3$

Multiply $3$ by $7$ .

$21 x^{2} + 3 x \cdot 3 + 5 (7 x) + 5 \cdot 3$

Multiply $3$ by $3$ .

$21 x^{2} + 9 x + 5 (7 x) + 5 \cdot 3$

Multiply $7$ by $5$ .

$21 x^{2} + 9 x + 35 x + 5 \cdot 3$

Multiply $5$ by $3$ .

$21 x^{2} + 9 x + 35 x + 15$

Add $9 x$ and $35 x$ .

$21 x^{2} + 44 x + 15$