Solve $3x - 7 = 2x + 4$.

How we read your problem

A linear equation in x: isolate x using inverse operations.

Step-by-step solution

1. 1

   Start with the equation

   $$3~ x-7 = 2~ x+4$$
2. 2

   Subtract 2x from both sides

   $$x - 7 = 4$$
3. 3

   Add 7 to both sides

   $$x = 11$$

Formulas used

• Linear equation

  $$ax + b = c \;\Rightarrow\; x = \frac{c - b}{a}$$

Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

Verification

• x = 11: left side = 26, right side = 26 ✓