Algebra Examples

What is the value of $2 (x - 3 y + 8) + 7 + 4 x$ ; when $x = 5$ and $y = 3$ ?

Step 1

Replace the variable $x$ with $5$ in the expression.

$2 ((5) - 3 y + 8) + 7 + 4 (5)$

Step 2

Replace the variable $y$ with $3$ in the expression.

$2 ((5) - 3 \cdot 3 + 8) + 7 + 4 (5)$

Step 3

Simplify each term.

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Step 3.1

Multiply $- 3$ by $3$ .

$2 (5 - 9 + 8) + 7 + 4 (5)$

Step 3.2

Subtract $9$ from $5$ .

$2 (- 4 + 8) + 7 + 4 (5)$

Step 3.3

Add $- 4$ and $8$ .

$2 \cdot 4 + 7 + 4 (5)$

Step 3.4

Multiply $2$ by $4$ .

$8 + 7 + 4 (5)$

Step 3.5

Multiply $4$ by $5$ .

$8 + 7 + 20$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $8$ and $7$ .

$15 + 20$

Step 4.2

Add $15$ and $20$ .

$35$