Algebra Examples

$8 - 2 k x = - 3 x$

Step 1

Add $3 x$ to both sides of the equation.

$8 - 2 k x + 3 x = 0$

Step 2

Subtract $8$ from both sides of the equation.

$- 2 k x + 3 x = - 8$

Step 3

Factor $x$ out of $- 2 k x + 3 x$ .

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Step 3.1

Factor $x$ out of $- 2 k x$ .

$x (- 2 k) + 3 x = - 8$

Step 3.2

Factor $x$ out of $3 x$ .

$x (- 2 k) + x \cdot 3 = - 8$

Step 3.3

Factor $x$ out of $x (- 2 k) + x \cdot 3$ .

$x (- 2 k + 3) = - 8$

Step 4

Divide each term in $x (- 2 k + 3) = - 8$ by $- 2 k + 3$ and simplify.

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Step 4.1

Divide each term in $x (- 2 k + 3) = - 8$ by $- 2 k + 3$ .

$\frac{x (- 2 k + 3)}{- 2 k + 3} = \frac{- 8}{- 2 k + 3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2 k + 3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{x (- 2 k + 3)}{- 2 k + 3} = \frac{- 8}{- 2 k + 3}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{- 2 k + 3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$x = - \frac{8}{- 2 k + 3}$

Step 4.3.2

Factor $- 1$ out of $- 2 k$ .

$x = - \frac{8}{- (2 k) + 3}$

Step 4.3.3

Rewrite $3$ as $- 1 (- 3)$ .

$x = - \frac{8}{- (2 k) - 1 (- 3)}$

Step 4.3.4

Factor $- 1$ out of $- (2 k) - 1 (- 3)$ .

$x = - \frac{8}{- (2 k - 3)}$

Step 4.3.5

Simplify the expression.

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Step 4.3.5.1

Rewrite $- (2 k - 3)$ as $- 1 (2 k - 3)$ .

$x = - \frac{8}{- 1 (2 k - 3)}$

Step 4.3.5.2

Move the negative in front of the fraction.

$x = - - \frac{8}{2 k - 3}$

Step 4.3.5.3

Multiply $- 1$ by $- 1$ .

$x = 1 \frac{8}{2 k - 3}$

Step 4.3.5.4

Multiply $\frac{8}{2 k - 3}$ by $1$ .

$x = \frac{8}{2 k - 3}$