Question

Distribute the 2 on the left side of the equation: 2x + 10 = 3x + 1.

a) x = 3
b) x = 5
c) x = 9
d) x = 11

Answer 1

The equation 2x + 10 = 3x + 1 is solved by subtracting 2x and then 1 from both sides to isolate x, resulting in the answer x = 9.

Step-by-step explanation:

To solve the linear equation 2x + 10 = 3x + 1, we need to find the value of x that makes both sides of the equation equal. The given equation already has the 2 distributed on the left side. We will collect like terms and solve for x by following these steps:

1. Subtract 2x from both sides: 2x - 2x + 10 = 3x - 2x + 1, which simplifies to 10 = x + 1.
2. Subtract 1 from both sides to isolate x: 10 - 1 = x, which gives us x = 9.

Therefore, the correct answer is c) x = 9.