Question #5ea24

Oct 6, 2017

$b = - 4$

Explanation:

Start by combining like terms by adding $b$ and subtracting $30$ on both sides:

$6 - b = 5 b + 30$

$- 24 = 6 b$

Divide both sides by $6$:

$- 4 = b$

Oct 6, 2017

$b = - 4$

Explanation:

Whenever you're trying to solve an equation, it is always best to keep the variables on one side and the numerical values on the other side. So let's keep the b's on the left-hand side and the numerical values on the right, for this case.

Let's subtract $5 b$ from both sides to get rid of the $5 b$ on the right hand side:

$6 - 6 b = 30$

We've made a lot of progress. All we need to do now is move the $6$ over to the other side. You can do this by subtracting 6 from both sides.

$- 6 b = 24$

Lastly, divide both sides by $- 6$ in order to isolate $b$ and get the answer:

$b = - 4$

If you plug this into the original expression, you'll see that both sides equal:

$6 - \left(- 4\right) = 5 \left(- 4\right) + 30$
$10 = 10$