Pre-Algebra Examples

$3 b x + 6 b c = 7 b x + 3 b c$

Step 1

Move all terms containing $b$ to the left side of the equation.

Tap for more steps...

Step 1.1

Subtract $7 b x$ from both sides of the equation.

$3 b x + 6 b c - 7 b x = 3 b c$

Step 1.2

Subtract $3 b c$ from both sides of the equation.

$3 b x + 6 b c - 7 b x - 3 b c = 0$

Step 1.3

Subtract $7 b x$ from $3 b x$ .

$- 4 b x + 6 b c - 3 b c = 0$

Step 1.4

Subtract $3 b c$ from $6 b c$ .

$- 4 b x + 3 b c = 0$

Step 2

Factor $b$ out of $- 4 b x + 3 b c$ .

Tap for more steps...

Step 2.1

Factor $b$ out of $- 4 b x$ .

$b (- 4 x) + 3 b c = 0$

Step 2.2

Factor $b$ out of $3 b c$ .

$b (- 4 x) + b (3 c) = 0$

Step 2.3

Factor $b$ out of $b (- 4 x) + b (3 c)$ .

$b (- 4 x + 3 c) = 0$

Step 3

Divide each term in $b (- 4 x + 3 c) = 0$ by $- 4 x + 3 c$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $b (- 4 x + 3 c) = 0$ by $- 4 x + 3 c$ .

$\frac{b (- 4 x + 3 c)}{- 4 x + 3 c} = \frac{0}{- 4 x + 3 c}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $- 4 x + 3 c$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{b (- 4 x + 3 c)}{- 4 x + 3 c} = \frac{0}{- 4 x + 3 c}$

Step 3.2.1.2

Divide $b$ by $1$ .

$b = \frac{0}{- 4 x + 3 c}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $0$ by $- 4 x + 3 c$ .

$b = 0$