Question

Solve For X and create a example a litte more advanced of
Solve For X

7x=49

Answer 1

To solve the equation \(7x = 49\) for \(x\), you follow these steps:

1. Divide both sides of the equation by \(7\):
\[
x = \frac{49}{7}
\]
2. Simplify the right side:
\[
x = 7
\]

So, \(x = 7\) is the solution.

### More Advanced Example

Now, let's consider a slightly more complex equation:
\[
3(2x - 4) + 5 = 2(x + 6) - 3
\]

#### Step 1: Distribute on both sides
On the left side:
\[
3 \cdot 2x - 3 \cdot 4 + 5 = 6x - 12 + 5 = 6x - 7
\]
On the right side:
\[
2 \cdot x + 2 \cdot 6 - 3 = 2x + 12 - 3 = 2x + 9
\]

Now the equation is:
\[
6x - 7 = 2x + 9
\]

#### Step 2: Move all \(x\) terms to one side and constant terms to the other side
Subtract \(2x\) from both sides:
\[
6x - 2x - 7 = 9
\]
This simplifies to:
\[
4x - 7 = 9
\]

#### Step 3: Add \(7\) to both sides
\[
4x = 9 + 7
\]
\[
4x = 16
\]

#### Step 4: Divide by \(4\)
\[
x = \frac{16}{4}
\]
\[
x = 4
\]

So the solution to the equation \(3(2x - 4) + 5 = 2(x + 6) - 3\) is \(x = 4\).