Answer:
x = 10/3 or x = 3.33
Explanation:
To solve the equation -4(3x - 2) = -32, follow these steps:
Distribute the -4 on the left side of the equation to eliminate the parentheses:
-4 * 3x + (-4) * (-2) = -32
This simplifies to:
-12x + 8 = -32
Now, you want to isolate the variable x. Start by getting rid of the constant term on the left side (in this case, 8) by subtracting it from both sides of the equation:
-12x + 8 - 8 = -32 - 8
-12x = -40
To solve for x, divide both sides of the equation by the coefficient of x, which is -12:
(-12x) / (-12) = (-40) / (-12)
x = 40 / 12
Simplify the fraction on the right side by dividing both the numerator and denominator by their greatest common divisor, which is 4:
x = (40 ÷ 4) / (12 ÷ 4)
x = 10 / 3
So, the solution to the equation -4(3x - 2) = -32 is:
x = 10/3 or approximately x = 3.33 (rounded to two decimal places).