Algebra Examples

$3 a (2 x - 7) + 5 b (7 - 2 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 a (2 x) + 3 a \cdot - 7 + 5 b (7 - 2 x)$

Step 1.2

Rewrite using the commutative property of multiplication.

$3 \cdot 2 a x + 3 a \cdot - 7 + 5 b (7 - 2 x)$

Step 1.3

Multiply $- 7$ by $3$ .

$3 \cdot 2 a x - 21 a + 5 b (7 - 2 x)$

Step 1.4

Multiply $3$ by $2$ .

$6 a x - 21 a + 5 b (7 - 2 x)$

Step 1.5

Apply the distributive property.

$6 a x - 21 a + 5 b \cdot 7 + 5 b (- 2 x)$

Step 1.6

Multiply $7$ by $5$ .

$6 a x - 21 a + 35 b + 5 b (- 2 x)$

Step 1.7

Rewrite using the commutative property of multiplication.

$6 a x - 21 a + 35 b + 5 \cdot - 2 b x$

Step 1.8

Multiply $5$ by $- 2$ .

$6 a x - 21 a + 35 b - 10 b x$

Step 2

Reorder.

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Step 2.1

Move $35 b$ .

$6 a x - 21 a - 10 b x + 35 b$

Step 2.2

Move $- 21 a$ .

$6 a x - 10 b x - 21 a + 35 b$