191k views
0 votes
What value of x makes the equation below true?
3/4(x + 20) = 2 + (x - 2)

1 Answer

1 vote

Final answer:

The value of x that makes the equation 3/4(x + 20) = 2 + (x - 2) true is 60 after distributing, combining like terms, and isolating x.

Step-by-step explanation:

Solving a Linear Equation

To find the value of x that makes the equation 3/4(x + 20) = 2 + (x - 2) true, we first distribute the 3/4 across the parentheses on the left side:

3/4 × x + 3/4 × 20 = 2 + (x - 2)

Which simplifies to:

(3/4)x + 15 = 2 + x - 2

Then, we combine like terms on the right side:

(3/4)x + 15 = x

Next, we move all terms containing x to one side of the equation:

(3/4)x - x = -15

This becomes:

-1/4x = -15

To isolate x, we divide both sides by -1/4:

x = -15 ÷ (-1/4)

x = 60

Therefore, the value of x that makes the equation true is 60.

User Yangrui
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories