Question

Solve 2(x + 3) = 11 by expanding the brackets first.

Answer 1

5/2 or 2.5

Explanation:

We have to expand the brackets, so 2(x+3) = 2x + 6.

Then we need to solve for x, so we have 2x + 6 = 11, and if we subtract 6 from both sides, we have 2x = 5. Then dividing by 2, we get that x = 5/2.

5/2 can also be written as 2.5.

Only steps:

2(x+3) = 11

2x + 6 = 11

2x = 11 - 6

2x = 5

x = 5/2

x = 2.5

Answer 2

x = 5/2

Explanation:

Hi! Our task is to solve the equation
`\sf{2(x+3)=11}`.

So first, we will distribute 2:

`\sf{2*x+2*3=11}`

Now, we simplify the left-hand side:

`\sf{2x+6=11}`

Subtract 6 from both sides:

`\sf{2x=5}`

Lastly, divide both sides by 2.

`\sf{x=\cfrac{5}{2}}`

Therefore, x = 5/2.