Algebra Examples

$q (x) = \frac{1}{2} x - 3$ , $q (x) = - 4$

Step 1

Substitute $- 4$ for $q (x)$ .

$- 4 = \frac{1}{2} x - 3$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $\frac{1}{2} x - 3 = - 4$ .

$\frac{1}{2} x - 3 = - 4$

Step 2.2

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - 3 = - 4$

Step 2.3

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

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Step 2.3.1

Add $3$ to both sides of the equation.

$\frac{x}{2} = - 4 + 3$

Step 2.3.2

Add $- 4$ and $3$ .

$\frac{x}{2} = - 1$

Step 2.4

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot - 1$

Step 2.5

Simplify both sides of the equation.

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Step 2.5.1

Simplify the left side.

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Step 2.5.1.1

Cancel the common factor of $2$ .

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Step 2.5.1.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot - 1$

Step 2.5.1.1.2

Rewrite the expression.

$x = 2 \cdot - 1$

Step 2.5.2

Simplify the right side.

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Step 2.5.2.1

Multiply $2$ by $- 1$ .

$x = - 2$