Equations with Variables on Both Sides

In Example 1, why did we start the problem by multiplying by 2?

What could be the first step to solve this equation?

3x + 5 = 7x - 11

• Subtract 7x from both sides

• Subtract 11 from both sides

• Divide both sides by 3

• Multiply both sides by 3

Answer explanation

The first step is usually to eliminate the 7x on the right side by subtracting 7x from both sides.

• x = 1

• x = 2