Question

question 7 / 16
given the equation (\frac{1 + 4x}{5}=\frac{x - 2}{2})
what is the value of (x)?
select one answer
a (-1)
b (-\frac{8}{3})
c (-\frac{1}{2})
d (4)
no answer saved.

Explanation:

Step1: Cross-multiply to eliminate denominators

$2(1 + 4x) = 5(x - 2)$

Step2: Expand both sides of the equation

$2 + 8x = 5x - 10$

Step3: Isolate x terms on one side

$8x - 5x = -10 - 2$

Step4: Simplify to solve for x

$3x = -12$
$x = \frac{-12}{3} = -4$

Answer:

A. -4