Solve the equation Twenty-five minus four b equals negative six b plus forty-seven for b.

A)b equals negative eleven

B)b equals negative two and two tenths

C)b equals two and two tenths

D)b equals eleven

Question

Solve the equation Twenty-five minus four b equals negative six b plus forty-seven for b.

A)b equals negative eleven

B)b equals negative two and two tenths

C)b equals two and two tenths

D)b equals eleven

anonymous · Answer

First, write the equation:


$$25 - 4b = -6b + 47$$

anonymous · Answer

Next, rearrange the equation and combine like terms.

Add 6b to both sides.  Subtract 25 from both sides.

This will put all b terms on the left, and your constants on the right.

$$25 - 4b + 6b - 25 = -6b + 47 + 6b - 25$$

$$2b = 22$$

Solve for b.

$$b = \frac{22}{2}$$

Simplify.

$$b = 11$$