Solve ( 0.5x + 1.2 = 0.3x - 0.4 ) Multiply by 10: ( 5x + 12 = 3x - 4 ) → ( 2x = -16 ) → ( x = -8 ).
Move all variable terms to one side of the equation (usually the left) and all constant terms to the opposite side using addition or subtraction.
with a coefficient of 1. To do this, you must systematically "undo" operations using the properties of equality. 🛠️ Step-by-Step Solving Process lesson 3.4 solving complex 1-variable equations
). Undo the addition/subtraction, then undo the multiplication/division. 3. Worked Example: Putting it Together Let’s solve: Combine Like Terms: (since -12 + 5 = -7) Move Variables: Subtract from both sides: Solve: Add 7: Divide by 5: 4. Pro-Tips for Lesson 3.4
Multiply both sides of the equation by the of all fractions. Solve ( 0
Occurs when the variable terms cancel out and you are left with a true statement (e.g., Success Tip
Add (x) to both sides:
If your equation is full of fractions, multiply every single term by the Least Common Denominator (LCD). This "clears" the fractions instantly, turning a scary problem into a simple integer problem.
Parentheses that "lock" terms away.
