To isolate and solve for the variable in the equation 4(3x-2)=-24, we can follow these steps:
1. Start by distributing the 4 to both terms within the parentheses:
4 * 3x = 12x
4 * -2 = -8
2. Rewrite the equation with the distributed terms:
12x - 8 = -24
3. Next, we want to get the term with the variable (12x) on one side of the equation and the constant terms (-8 and -24) on the other side. To do this, we'll perform algebraic operations to isolate the variable.
a. Begin by adding 8 to both sides of the equation:
12x - 8 + 8 = -24 + 8
12x = -16
b. Now, we divide both sides of the equation by 12 to solve for x:
(12x)/12 = (-16)/12
x = -16/12
Simplifying the right side:
x = -4/3
4. Therefore, the solution to the equation 4(3x-2)=-24 is x = -4/3.
To double-check our solution:
Substitute x = -4/3 back into the original equation:
4(3(-4/3)-2) = -24
4(-4 - 2) = -24
4(-6) = -24
-24 = -24
The equation holds true with x = -4/3, confirming our solution.
isolate and solve the variable in this eqaution, make sure to explain the procces
4(3x-2)=-24
1 answer
1 answer