Solve the following equation: (4x – 10) + 5 = x – 11

Question

(1 point)
Responses

11
11

6
6

–11
–11

–6
–6
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Answer 1

Let's solve the equation step by step:

(4x – 10) + 5 = x – 11

First, distribute the 5:

4x - 10 + 5 = x - 11

Combine like terms:

4x - 5 = x - 11

Next, subtract x from both sides:

4x - x - 5 = -11

3x - 5 = -11

Next, add 5 to both sides:

3x - 5 + 5 = -11 + 5

3x = -6

Finally, divide both sides by 3:

x = -6/3

Simplifying:

x = -2

So the solution to the equation is x = -2.