Question

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

Answer 1

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.