Algebra Examples

$- h x + 4 = 2 x - 1$

Step 1

Subtract $2 x$ from both sides of the equation.

$- h x + 4 - 2 x = - 1$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Subtract $4$ from both sides of the equation.

$- h x - 2 x = - 1 - 4$

Step 2.2

Subtract $4$ from $- 1$ .

$- h x - 2 x = - 5$

Step 3

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

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Step 3.1

Factor $x$ out of $- h x$ .

$x (- h) - 2 x = - 5$

Step 3.2

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

$x (- h) + x \cdot - 2 = - 5$

Step 3.3

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

$x (- h - 2) = - 5$

Step 4

Divide each term in $x (- h - 2) = - 5$ by $- h - 2$ and simplify.

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Step 4.1

Divide each term in $x (- h - 2) = - 5$ by $- h - 2$ .

$\frac{x (- h - 2)}{- h - 2} = \frac{- 5}{- h - 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- h - 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{x (- h - 2)}{- h - 2} = \frac{- 5}{- h - 2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 5}{- h - 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$x = - \frac{5}{- h - 2}$

Step 4.3.2

Factor $- 1$ out of $- h$ .

$x = - \frac{5}{- (h) - 2}$

Step 4.3.3

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

$x = - \frac{5}{- (h) - 1 (2)}$

Step 4.3.4

Factor $- 1$ out of $- (h) - 1 (2)$ .

$x = - \frac{5}{- (h + 2)}$

Step 4.3.5

Simplify the expression.

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Step 4.3.5.1

Rewrite $- (h + 2)$ as $- 1 (h + 2)$ .

$x = - \frac{5}{- 1 (h + 2)}$

Step 4.3.5.2

Move the negative in front of the fraction.

$x = - - \frac{5}{h + 2}$

Step 4.3.5.3

Multiply $- 1$ by $- 1$ .

$x = 1 \frac{5}{h + 2}$

Step 4.3.5.4

Multiply $\frac{5}{h + 2}$ by $1$ .

$x = \frac{5}{h + 2}$