Solve the equation 3x−7=2x+5

Question

3
𝑥
−
7
=
2
𝑥
+
5
.(1 point)
Responses

x=12
𝑥
=
12
x is equal to 12

x=−12
𝑥
=
−
12
x is equal to negative 12

x=7
𝑥
=
7
x is equal to 7

x=−7

Answer 1

To solve the equation \(3x - 7 = 2x + 5\), follow these steps:

1. Subtract \(2x\) from both sides: \[ 3x - 2x - 7 = 5 \] This simplifies to: \[ x - 7 = 5 \]

2. Add \(7\) to both sides: \[ x = 5 + 7 \] This simplifies to: \[ x = 12 \]

Therefore, the solution is: \[ x = 12 \]

So, the correct response is: x = 12.