Finite Math Examples

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

Step 1

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

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

Step 2

Combine $\frac{1}{4}$ and $x$ .

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

Step 3

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

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Step 3.1

Add $1$ to both sides of the equation.

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

Step 3.2

Add $- 3$ and $1$ .

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

Step 4

Multiply both sides of the equation by $4$ .

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

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $4$ .

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Step 5.1.1.1

Cancel the common factor.

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

Step 5.1.1.2

Rewrite the expression.

$x = 4 \cdot - 2$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $4$ by $- 2$ .

$x = - 8$