Question

1. what is the solution to this equation?

$-\frac{1}{3}(5x - 15)+18 = 6x$
a. $x=\frac{7}{20}$
b. $x = 2$
c. $x=\frac{20}{7}$
d. $x = 3$

Explanation:

Step1: Distribute the fraction

$\frac{1}{3}(5x - 15) + 18 = 6x$
$\frac{5}{3}x - 5 + 18 = 6x$

Step2: Combine constant terms

$\frac{5}{3}x + 13 = 6x$

Step3: Isolate x terms

$13 = 6x - \frac{5}{3}x$
$13 = \frac{18}{3}x - \frac{5}{3}x$
$13 = \frac{13}{3}x$

Step4: Solve for x

$x = 13 \times \frac{3}{13}$
$x = 3$

Answer:

D. $x = 3$