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Chapter 7: Problem 1

Solve the equation \(4 x-20=9\)

Short Answer

Expert verified
Answer: x = 29/4

Step by step solution

01

Add 20 to both sides of the equation

In this step, we will add 20 to both sides of the equation to eliminate the constant on the left side. This is known as the inverse operation because it is the opposite of subtraction. So, we have: \(4x - 20 + 20 = 9 + 20\) Simplifying both sides, we get: \(4x = 29\)
02

Divide both sides by 4

Now that we have isolated the "4x" term on the left side, we need to get rid of the coefficient (4) in front of the variable \(x\). We will do this by dividing both sides of the equation by 4. This looks like: \(\frac{4x}{4} = \frac{29}{4}\) Simplifying, we find that: \(x = \frac{29}{4}\) The solution to the equation \(4x - 20 = 9\) is \(x = \frac{29}{4}\).

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