Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
A. -64
B.64
C. 56
D.-56

Answers

Answer 1
Option D is the correct answer of your question
Answer 2

The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).

We have to find out the value of x for which the equation becomes true.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)

Let's solve to get the value of x.

0.75(x + 20) = 2 + 0.5(x - 2)

⇒ 0.75x + 15 = 2 + 0.5 x - 1

⇒ 0.75x - 0.5x = 1 - 15

⇒ 0.25x = - 14

⇒ x = -14 ÷ 0.25

x = - 56

Let's check ;

0.75(x + 20) = 2 + 0.5(x - 2)

0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )

(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)

-42 + 15 = 2 -28 - 1

-27 = -27

Both sides are equal for value of x = -56.

Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

To learn more about algebraic expressions click here ;

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