Question

"The product of a six and a number increased by four is equal to

Answer 1

Answer:

$6x + 4 = 12x - 20$

$x = 4$

Step-by-step explanation:

Let "x" be the number.

Product of 6 and x (6*x), increased by 4 = $6x + 4$

Product of 12 and x, (12*x), decreased by 20 = $12x - 20$.

Set both expressions equal to each other and solve for x as shown below:

$6x + 4 = 12x - 20$ (equation)

Subtract 12 from both sides

$6x + 4 - 12x = 12x - 20 - 12x$

$-6x + 4 = -20$

Subtract 4 from both sides

$-6x + 4 - 4 = -20 - 4$

$-6x = -24$

Divide both sides by -6

$\frac{-6x}{-6} = \frac{-24}{-6}$

$x = 4$