Solve for x : −4(3x+10)−2=54

Answer 1

To solve the equation, we will distribute the -4 to the terms inside the parentheses.

Starting with the original equation:

−4(3x+10)−2=54

-12x - 40 - 2 = 54

Now, let's combine like terms:

-12x - 42 = 54

Next, we'll isolate the variable term by adding 42 to both sides of the equation:

-12x - 42 + 42 = 54 + 42

-12x = 96

Finally, we divide both sides of the equation by -12 to solve for x:

x = 96 / -12

Simplifying further:

x = -8