Solving the Equation: 3(2x-1) + 7 = -44
In this article, we will solve the equation 3(2x-1) + 7 = -44 and find the value of x.
Step 1: Simplify the Equation
First, let's simplify the left-hand side of the equation by evaluating the expression inside the parentheses:
3(2x-1) = 3(2x) - 3(1) = 6x - 3
So, the equation becomes:
6x - 3 + 7 = -44
Step 2: Combine Like Terms
Next, let's combine like terms on the left-hand side of the equation:
6x - 3 + 7 = 6x + 4
Step 3: Isolate x
Now, let's isolate x by subtracting 4 from both sides of the equation:
6x = -44 - 4 6x = -48
Finally, let's divide both sides of the equation by 6 to solve for x:
x = -48/6 x = -8
Therefore, the value of x is -8.