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10 - 5b = 2 - 3b

What does b equal?

1 answer

To solve the equation \(10 - 5b = 2 - 3b\), we can start by rearranging it to isolate \(b\).

  1. First, add \(5b\) to both sides:

\[ 10 = 2 - 3b + 5b \]

This simplifies to:

\[ 10 = 2 + 2b \]

  1. Next, subtract \(2\) from both sides:

\[ 10 - 2 = 2b \]

This simplifies to:

\[ 8 = 2b \]

  1. Finally, divide both sides by \(2\):

\[ b = \frac{8}{2} = 4 \]

So, \(b\) equals \(4\).