(06.03) 4(2x + 3) ÷ 5y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

Simplifying

4(2x + -3) + -5y = 0

Reorder the terms:

4(-3 + 2x) + -5y = 0

(-3 * 4 + 2x * 4) + -5y = 0

(-12 + 8x) + -5y = 0

Solving

-12 + 8x + -5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 8x + 12 + -5y = 0 + 12

Reorder the terms:

-12 + 12 + 8x + -5y = 0 + 12

Combine like terms: -12 + 12 = 0

0 + 8x + -5y = 0 + 12

8x + -5y = 0 + 12

Combine like terms: 0 + 12 = 12

8x + -5y = 12

Add '5y' to each side of the equation.

8x + -5y + 5y = 12 + 5y

Combine like terms: -5y + 5y = 0

8x + 0 = 12 + 5y

8x = 12 + 5y

Divide each side by '8'.

x = 1.5 + 0.625y

Simplifying

x = 1.5 + 0.625y

Step-by-step explanation:

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