2(x+a)=4b
A. Solve the given equation for the variable a.In your final answer, include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
A.
2(x+a)=4b
Distribute the 2 to the terms inside the parentheses:
2x+2a=4b
Subtract 2x from both sides:
2a=4b-2x
Divide both sides by 2:
a=2b-x
Therefore, the answer for the variable a is a=2b-x.
B.
To solve for a, I followed the standard process of isolating the variable by performing inverse operations. Firstly, I distributed the 2 to the terms inside the parentheses. Then, I subtracted 2x from both sides in order to move all terms containing a to one side of the equation. Finally, I divided both sides by 2 to isolate the variable a. The resulting equation was a=2b-x.