Solve for b. 2b - 9 = 8b + 9 b = ____

Isolate variable b: Isolate the variable b on one side of the equation. To do this, we will subtract 2b from both sides of the equation to move all the b terms to one side. 2b - 9 - 2b = 8b + 9 - 2b This simplifies to: -9 = 6b + 9Subtract 2b: Next, we will isolate b by getting rid of the constant on the side with the variable. We do this by subtracting 9 from both sides of the equation. -9 - 9 = 6b + 9 - 9 This simplifies to: -18 = 6bIsolate b: Now, we will solve for b by dividing both sides of the equation by 6. -18 / 6 = 6b / 6 This simplifies to: b = -3

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Solve for $b$ . $\newline$ $2b - 9 = 8b + 9$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

b

\newline

2b - 9 = 8b + 9

Isolate variable b: Isolate the variable $b$ on one side of the equation. $\newline$ To do this, we will subtract $2b$ from both sides of the equation to move all the $b$ terms to one side. $\newline$ $2b - 9 - 2b = 8b + 9 - 2b$ $\newline$ This simplifies to: $\newline$ $-9 = 6b + 9$
Subtract $2$ b: Next, we will isolate $b$ by getting rid of the constant on the side with the variable. $\newline$ We do this by subtracting $9$ from both sides of the equation. $\newline$ $-9 - 9 = 6b + 9 - 9$ $\newline$ This simplifies to: $\newline$ $-18 = 6b$
Isolate $b$ : Now, we will solve for $b$ by dividing both sides of the equation by $6$ .
$-18 / 6 = 6b / 6$
This simplifies to:
$b = -3$