Question

4 solve the following equations.
$-5c + 9c = -20$
$36 = 6b - 6 + b$
$6(7k - 10) = 24$
$10x - 16 = 44$

Explanation:

Step1: Solve for $c$, combine like terms

$-5c + 9c = -20$
$\implies 4c = -20$

Step2: Isolate $c$, divide by 4

$c = \frac{-20}{4}$
$\implies c = -5$

Step3: Solve for $k$, divide by 6

$6(7k - 10) = 24$
$\implies 7k - 10 = \frac{24}{6}$
$\implies 7k - 10 = 4$

Step4: Isolate $k$, add 10 then divide

$7k = 4 + 10$
$\implies 7k = 14$
$\implies k = \frac{14}{7} = 2$

Step5: Solve for $b$, combine like terms

$36 = 6b - 6 + b$
$\implies 36 = 7b - 6$

Step6: Isolate $b$, add 6 then divide

$7b = 36 + 6$
$\implies 7b = 42$
$\implies b = \frac{42}{7} = 6$

Step7: Solve for $x$, add 16

$10x - 16 = 44$
$\implies 10x = 44 + 16$
$\implies 10x = 60$

Step8: Isolate $x$, divide by 10

$x = \frac{60}{10} = 6$

Answer:

$c = -5$, $k = 2$, $b = 6$, $x = 6$