Question

Solve the multi-step equation by combining like terms and using inverse operations and the properties of equality.

Equation: –4x – 5 + 2x = –11

Answer 1

Explanation:

X=3

1. simplify both sides of the equation by combining like terms

2. add 5 to both sides

3.divide both sides by -2

Answer 2

For this case we have the following equation:

`-4x-5 + 2x = -11`

To solve, we add similar terms to the left side of the equation:

`-2x-5 = -11`

We add 5 to both sides of the equation:

`-2x = -11 + 5\\-2x = -6`

We divide between -2 on both sides of the equation:

`x = \frac {-6} {- 2}\\x = 3`

Thus, the solution of the equation is 3.

Answer:

`x=3`