
Tamara J. answered 05/21/13
Math Tutoring - Algebra and Calculus (all levels)
4(3 - 2x) = -44
I'm assuming you are looking to solve for the only unknown variable, that being 'x'. To do so, you need to isolate this variable to one side of the equation.
First, divide both sides of the equation by 4:
(4(3 - 2x))/4 = (-44)/4
(4/4)(3 - 2x) = -(44/4)
(3 - 2x) = -(11)
3 - 2x = -11
Next, subtract 3 from both sides of the equation and combine like terms:
3 - 2x - 3 = -11 - 3
3 - 3 - 2x = -11 - 3
-2x = -14
Then, to solve for x, divide both sides of the equation by -2:
(-2x)/-2 = (-14)/-2
(-2/-2)x = (-/-)(14/2)
x = 7
You can check to see if this is the correct answer by plugging in x = 7 into the original equation:
4(3 - 2x) = 4(3 - 2(7)) = 4(3 - 14) = 4(-11) = -44