Final Answer:
The values of the x in the given expression is 4/3.
Step-by-step explanation:
Let's solve the equation step-by-step:
The equation we have is: -10(15x - 5) = -150.
Step 1: Distribute the -10 to both terms inside the parentheses.
To do this, multiply -10 by 15x and then -10 by -5.
-10 * 15x = -150x
-10 * -5 = 50
The equation now becomes:
-150x + 50 = -150
Step 2: Isolate the variable term.
To do this, we want to move the constant term (50) to the other side of the equation.
-150x + 50 - 50 = -150 - 50
-150x = -200
Step 3: Solve for x.
To get x by itself, divide both sides of the equation by the coefficient of x, which is -150.
-150x / -150 = -200 / -150
x = (200 / 150)
Step 4: Simplify the fraction, if possible.
Both 200 and 150 can be divided by 50 to simplify the fraction.
200 / 50 = 4
150 / 50 = 3
So, x = 4 / 3.
Therefore, the solution to the equation -10 (15x - 5) = -150 is x = 4/3.