Question

Identifying the steps followed to solve the equation 5 - 3(x+3) = 11 - 8x Add 3 to both sides, then subtract 5 from both sides. Distribute the -3 on the left side, then combine like terms on each side. Distribute the -3 on the right side, then combine like terms on each side. Add 3x to both sides, then subtract 5 from both sides.

Answer 1

To solve the equation \(5 - 3(x+3) = 11 - 8x\), you should follow these steps:

1. Start by distributing the -3 on the left side of the equation:

\(5 - 3x - 9 = 11 - 8x\)

2. Combine like terms on each side:

\(-3x - 4 = 11 - 8x\)

3. Now, we want to isolate the variable \(x\). To do that, add \(8x\) to both sides to get the variable terms on one side of the equation:

\(-3x + 8x - 4 = 11 - 8x + 8x\)

4. This simplifies to:

\(5x - 4 = 11\)

5. Add 4 to both sides to isolate \(5x\):

\(5x - 4 + 4 = 11 + 4\)

6. Simplify:

\(5x = 15\)

7. Finally, divide both sides by 5 to solve for \(x\):

\(\frac{5x}{5} = \frac{15}{5}\)

8. Simplify:

\(x = 3\)

So, the solution to the equation \(5 - 3(x+3) = 11 - 8x\) is \(x = 3\).

Explanation: