15x + 3x + 19 = −17
Responses
A x = −3
x = −3
B x = −2x = −2
C x = 2x = 2
D x = 4
The equation given is 15x + 3x + 19 = -17.
Combining like terms, we have 18x + 19 = -17.
Subtracting 19 from both sides, we get 18x = -36.
Dividing both sides by 18, we find that x = -2.
Therefore, the correct answer is B) x = -2.
To solve the equation 15x + 3x + 19 = -17, follow these steps:
Step 1: Combine like terms on the left side of the equation.
15x + 3x = 18x
So the equation becomes 18x + 19 = -17.
Step 2: Move the constant term to the right side of the equation.
18x = -17 - 19
18x = -36
Step 3: Divide both sides of the equation by 18 to isolate x.
18x/18 = -36/18
x = -2
So the solution to the equation is x = -2.
Option B: x = -2
To solve the equation 15x + 3x + 19 = -17, we need to combine like terms and then isolate the variable x.
First, let's combine the like terms. We add the coefficients of the x terms and simplify the constant terms:
15x + 3x + 19 = -17
(15 + 3)x + 19 = -17
18x + 19 = -17
Next, let's isolate the variable x. We want to get rid of the constant term on the same side as x. To do this, we subtract 19 from both sides:
18x + 19 - 19 = -17 - 19
18x = -36
Now, we divide both sides by 18 to solve for x:
18x/18 = -36/18
x = -2
So, the correct answer is B) x = -2.