8x – 3 = 15x + 18
(1 point)
Responses
x = –3
x = –3
x = 3
x = 3
x = 2.1
x = 2.1
x = .9
x = –3
To solve the equation 8x - 3 = 15x + 18, follow these steps:
Step 1: Move all the terms containing x to one side of the equation. In this case, subtract 15x from both sides:
8x - 15x - 3 = 15x - 15x + 18
-7x - 3 = 18
Step 2: Move the constant term to the other side of the equation. In this case, add 3 to both sides:
-7x - 3 + 3 = 18 + 3
-7x = 21
Step 3: Solve for x. Divide both sides by -7:
(-7x)/-7 = 21/-7
x = -3
Therefore, the solution to the equation is x = -3.
To solve the equation 8x - 3 = 15x + 18, we need to isolate the variable x on one side of the equation. Let's go step by step:
1. Start by moving all the terms containing x to one side of the equation. In this case, we'll subtract 15x from both sides:
8x - 15x - 3 = 15x - 15x + 18
Simplifying the left side:
-7x - 3 = 18
2. Next, we'll move the constant term (-3) to the opposite side by adding 3 to both sides:
-7x - 3 + 3 = 18 + 3
Simplifying:
-7x = 21
3. To solve for x, we need to get rid of the coefficient (-7) in front of x. We do this by dividing both sides by -7:
(-7x) / -7 = 21 / -7
Simplifying:
x = -3
Therefore, the solution is x = -3.