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Solve for b.

10b + 5 = 7b - 16

(1 point)
Responses

7
7

26
26

-26
-26

-7
-7

5

1 answer

To solve for \( b \) in the equation \( 10b + 5 = 7b - 16 \), follow these steps:

  1. Start by isolating \( b \). First, subtract \( 7b \) from both sides: \[ 10b - 7b + 5 = -16 \] This simplifies to: \[ 3b + 5 = -16 \]

  2. Next, subtract \( 5 \) from both sides: \[ 3b = -16 - 5 \] This gives: \[ 3b = -21 \]

  3. Now, divide both sides by \( 3 \): \[ b = \frac{-21}{3} \] Simplifying this results in: \[ b = -7 \]

Thus, the solution for \( b \) is \( \boxed{-7} \).