Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. what is the solution to the equation $-0.2(x - 20) = 44 - x$? $\text…

Question

  1. what is the solution to the equation $-0.2(x - 20) = 44 - x$?

$\textcircled{a} x=-90$
$\textcircled{b} x=-50$
$\textcircled{c} x = 50$
$\textcircled{d} x = 90$

Explanation:

Step1: Expandir el lado izquierdo

$$-0.2x + 4 = 44 - x$$

Step2: Mover términos con \(x\) al mismo lado

$$-0.2x+x=44 - 4$$

Step3: Simplificar

$$0.8x = 40$$

Step4: Resolver para \(x\)

$$x=\frac{40}{0.8}=50$$

Answer:

C. \(x = 50\)