Question

solving steps for
7(x+4) = 5(x+2)

Answer 1

To solve the equation \( 7(x + 4) = 5(x + 2) \), follow these steps:

1. **Distribute both sides**:
\[
7(x + 4) = 7x + 28
\]
\[
5(x + 2) = 5x + 10
\]
So the equation becomes:
\[
7x + 28 = 5x + 10
\]

2. **Move the terms involving \( x \) to one side**:
Subtract \( 5x \) from both sides:
\[
7x - 5x + 28 = 10
\]
Simplifying gives:
\[
2x + 28 = 10
\]

3. **Move the constant terms to the other side**:
Subtract 28 from both sides:
\[
2x = 10 - 28
\]
Simplifying gives:
\[
2x = -18
\]

4. **Solve for \( x \)**:
Divide both sides by 2:
\[
x = \frac{-18}{2}
\]
Simplifying gives:
\[
x = -9
\]

So the solution to the equation \( 7(x + 4) = 5(x + 2) \) is \( x = -9 \).