Solve the equation for x.
−3/5
(15x − 30) = 198
Responses
A −10−10
B −20−20
C −24−24
D −36
To solve the equation for x, we need to simplify and isolate the variable x on one side.
The equation is:
−3/5 (15x − 30) = 198
First, let's distribute the −3/5 to both terms inside the parenthesis:
−3/5 * 15x + −3/5 * −30 = 198
Now, simplify each term:
−3/5 * 15x simplifies to -3 * 3x, which equals -9x.
−3/5 * −30 simplifies to -3 * -6, which equals 18.
The equation now looks like this:
−9x + 18 = 198
Next, subtract 18 from both sides to get the x term alone on one side:
−9x = 198 - 18
−9x = 180
Now, divide both sides by -9 to solve for x:
x = 180 / -9
x = -20
Therefore, the solution for x is -20, which corresponds to option B.