Finite Math Examples

$\frac{1}{5} x + 7 = 3$

Step 1

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} + 7 = 3$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$\frac{x}{5} = 3 - 7$

Step 2.2

Subtract $7$ from $3$ .

$\frac{x}{5} = - 4$

Step 3

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot - 4$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $5$ .

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Step 4.1.1.1

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot - 4$

Step 4.1.1.2

Rewrite the expression.

$x = 5 \cdot - 4$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $5$ by $- 4$ .

$x = - 20$