Let's solve each equation step by step:
Question 1: \(4x = 12\)
To find \(x\), divide both sides by 4: \[ x = \frac{12}{4} = 3 \]
Responses: 3
Question 2: \(5x = 55\)
To find \(x\), divide both sides by 5: \[ x = \frac{55}{5} = 11 \]
Responses: 11
Question 3: \(-6x = 12\)
To find \(x\), divide both sides by -6: \[ x = \frac{12}{-6} = -2 \]
Responses: -2
Question 4: \(2x + 3 = 13\)
To isolate \(x\), first subtract 3 from both sides: \[ 2x = 13 - 3 \] \[ 2x = 10 \]
Now, divide both sides by 2: \[ x = \frac{10}{2} = 5 \]
Responses: 5
Question 5: \(8x - 13 = 51\)
To isolate \(x\), first add 13 to both sides: \[ 8x = 51 + 13 \] \[ 8x = 64 \]
Now, divide both sides by 8: \[ x = \frac{64}{8} = 8 \]
Responses: 8
So, the answers are:
- 3
- 11
- -2
- 5
- 8