What is the value of x in the equation 4(x - 1) = 2(x + 3)?
Practice Questions
1 question
Q1
What is the value of x in the equation 4(x - 1) = 2(x + 3)?
x = 5
x = 4
x = 3
x = 2
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4: 2x = 10. Step 4: Divide by 2: x = 5.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of x in the equation 4(x - 1) = 2(x + 3)?
Solution: Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4: 2x = 10. Step 4: Divide by 2: x = 5.
Steps: 5
Step 1: Distribute the 4 on the left side of the equation. This means you multiply 4 by both (x) and (-1). So, 4(x - 1) becomes 4x - 4.
Step 2: Now, rewrite the equation with the distributed values: 4x - 4 = 2(x + 3). Next, distribute the 2 on the right side. This means you multiply 2 by both (x) and (3). So, 2(x + 3) becomes 2x + 6.
Step 3: Now the equation looks like this: 4x - 4 = 2x + 6. Next, we want to get all the x terms on one side. To do this, subtract 2x from both sides of the equation. This gives us: 4x - 2x - 4 = 6.
Step 4: Simplify the left side: 2x - 4 = 6. Now, we need to get rid of the -4. To do this, add 4 to both sides of the equation. This gives us: 2x = 10.
Step 5: Finally, to find x, divide both sides by 2. This gives us: x = 5.
