State whether the equation is true, false, or an open sentence. Show your work.
3(2 + -8) = 3(-6 + 12)
x + 5 = 22
-18 ≠ 18
I'll leave you to show the steps.
x = 17
To determine whether the equation is true, false, or an open sentence, we need to simplify each side of the equation and compare them.
1) 3(2 + -8) = 3(-6 + 12)
First, let's simplify the expressions inside the parentheses on both sides:
2 + -8 = -6
-6 + 12 = 6
Now we can rewrite the equation:
3(-6) = 3(6)
Next, we simplify each side:
-18 = 18
Since -18 does not equal 18, we can conclude that the equation is false.
2) x + 5 = 22
To determine whether this equation is true or false, we need to solve for x:
x + 5 = 22
Subtract 5 from both sides:
x = 22 - 5
x = 17
Now, we have the value of x. So we can say that the equation is true when x = 17.