Solving Equations
When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.
Examples:
- The inverse operation of addition is subtraction, and vice versa.
- The inverse operation of an exponent is taking the root of the exponent, and vice versa.
Solving the Question
⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:
⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:
⇒ Now, subtract 8 from both sides:
⇒ Finally, divide both sides by 2 to isolate x:
Answer
x = -6