Question

there are many ways to solve this equation. were trying to get b alone on one side of the equation, equal to some number. we can start by first trying to get all of the b terms on the right. what move can you make first to get rid of the -3b on the left so that all of the b terms are on the right side of the equation? 12 - 3b = 5 + 11b add 3b to both sides subtract 3b from both sides add 5 and 11b on the right

Explanation:

Step1: Eliminate -3b on left

Add $3b$ to both sides:
$12 - 3b + 3b = 5 + 11b + 3b$
Simplify: $12 = 5 + 14b$

Step2: Isolate the term with b

Subtract 5 from both sides:
$12 - 5 = 5 + 14b - 5$
Simplify: $7 = 14b$

Step3: Solve for b

Divide both sides by 14:
$\frac{7}{14} = \frac{14b}{14}$
Simplify: $\frac{1}{2} = b$

Answer:

$b = \frac{1}{2}$
First move to eliminate $-3b$: Add 3b to both sides