Question

Which equation is equivalent to 63-3(2-10x)=150

a. 120 - 10x = 150
b. 120 - 600x = 150
c. -10x = 150
d. 57 + 30x = 150

Answer 1

The equivalent equation to 63 - 3(2 - 10x) = 150 is 57 + 30x = 150, after distributing the -3 and combining like terms.

Step-by-step explanation:

To find which equation is equivalent to 63 - 3(2 - 10x) = 150, first we distribute the -3 inside the parenthesis:

-3 × 2 = -6
-3 × (-10x) = 30x

So the equation now looks like:

63 - 6 + 30x = 150

Combine like terms (63 - 6) to simplify the equation:

57 + 30x = 150

Therefore, the equation that is equivalent to the original given equation is d. 57 + 30x = 150.