Finite Math Examples

$\frac{112.5 + x}{2} = 200$

Step 1

Multiply both sides of the equation by $2$ .

$2 \frac{112.5 + x}{2} = 2 \cdot 200$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Cancel the common factor.

$2 \frac{112.5 + x}{2} = 2 \cdot 200$

Step 2.1.1.2

Rewrite the expression.

$112.5 + x = 2 \cdot 200$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $2$ by $200$ .

$112.5 + x = 400$

Step 3

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

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Step 3.1

Subtract $112.5$ from both sides of the equation.

$x = 400 - 112.5$

Step 3.2

Subtract $112.5$ from $400$ .

$x = 287.5$