Question

which value of x is a solution of the equation 3x = x + 10?
0
9
8
10

Explanation:

Step1: Understand the equation

The equation is \( 3x = x + 10 \) (assuming the original equation might have a typo, likely \( 3x = x + 10 \) instead of unclear text, as per common linear equation problems). We need to solve for \( x \) and check which of the given options (0, 5, 8, 10) is the solution.

Step2: Solve the equation

Subtract \( x \) from both sides: \( 3x - x = x + 10 - x \)
Simplify: \( 2x = 10 \)
Divide both sides by 2: \( x=\frac{10}{2}=5 \)

Step3: Verify with options

Check each option:

• For \( x = 0 \): \( 3(0)=0 \), \( 0 + 10 = 10 \), \( 0

eq10 \)

• For \( x = 5 \): \( 3(5)=15 \), \( 5 + 10 = 15 \), \( 15 = 15 \), so it works.
• For \( x = 8 \): \( 3(8)=24 \), \( 8 + 10 = 18 \), \( 24

eq18 \)

• For \( x = 10 \): \( 3(10)=30 \), \( 10 + 10 = 20 \), \( 30

eq20 \)

Answer:

5 (from the given options: the second option, assuming the options are 0, 5, 8, 10 as per the boxes)