Finite Math Examples

$5 x - 20 = 3 x$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $3 x$ from both sides of the equation.

$5 x - 20 - 3 x = 0$

Step 1.2

Subtract $3 x$ from $5 x$ .

$2 x - 20 = 0$

Step 2

Add $20$ to both sides of the equation.

$2 x = 20$

Step 3

Divide each term in $2 x = 20$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 20$ by $2$ .

$\frac{2 x}{2} = \frac{20}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{20}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{20}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $20$ by $2$ .

$x = 10$