Question

Vanessa wants to determine the perimeter around her garden. She makes an small model of her garden and combines all the sides: 3x + (x + 10) + 5x + (2x + 2). She concludes that the total perimeter of her garden is 56.
Solve the following equation to determine the value of x:
3x + (x + 10) + 5x + (2x + 2) = 56

Answer 1

Answer:

4

Step-by-step explanation:

since it's all addition, we can remove the parentheses

$3x + x + 10 + 5x + 2x + 2 = 56$

Now we combine like terms

$3x+x+5x+2x+10+2=56$

$11x+12=56$

We subtract both sides by 12 to get,

$11x=44$

now we divide both sides by 11

$x=\frac{44}{11}$

$x=4$