Question: What is the value of x in the equation 5(x - 1) = 3x + 7?
Options:
x = 4
x = 5
x = 6
x = 3
Correct Answer: x = 4
Solution:
Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5: 2x = 12. Step 4: Divide by 2: x = 6.
What is the value of x in the equation 5(x - 1) = 3x + 7?
Practice Questions
Q1
What is the value of x in the equation 5(x - 1) = 3x + 7?
x = 4
x = 5
x = 6
x = 3
Questions & Step-by-Step Solutions
What is the value of x in the equation 5(x - 1) = 3x + 7?
Step 1: Distribute the 5 to both terms inside the parentheses: 5(x - 1) becomes 5x - 5. So, the equation is now 5x - 5 = 3x + 7.
Step 2: To get all the x terms on one side, subtract 3x from both sides of the equation. This gives you 5x - 3x - 5 = 7, which simplifies to 2x - 5 = 7.
Step 3: Next, to isolate the term with x, add 5 to both sides of the equation. This results in 2x = 7 + 5, which simplifies to 2x = 12.
Step 4: Finally, to solve for x, divide both sides of the equation by 2. This gives you x = 12 / 2, which simplifies to x = 6.
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