Skip to content
Solving Basic Equations
Lesson 4
0% complete

Lesson 4: Solving Linear Equations

Isolate the variable using balanced inverse operations.

A linear equation can be solved by undoing operations in reverse order. Keep both sides balanced at every step so the equation remains true.

Key formula

ax+b=c⇒x=c−baax+b=c\Rightarrow x=\frac{c-b}{a}

Worked example

5x+1=−44⇒x=−95x+1=-44\Rightarrow x=-9

Checkpoint

Solve −6x+11=−49\text{Solve }-6x+11=-49

Recap

  • - Undo addition/subtraction before multiplication/division.
  • - Perform identical operations on both sides.
  • - Check your answer by substitution.
Previous lessonNext lessonExamplesPracticeTry in calculator

Track progress: 0/8 completed.