Finite Math Examples

$\frac{48 + 74 + 69 + 58 + 69 + x}{6} = 70$

Step 1

Multiply both sides of the equation by $6$ .

$6 \frac{48 + 74 + 69 + 58 + 69 + x}{6} = 6 \cdot 70$

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

Simplify $6 \frac{48 + 74 + 69 + 58 + 69 + x}{6}$ .

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Step 2.1.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1.1

Cancel the common factor.

$6 \frac{48 + 74 + 69 + 58 + 69 + x}{6} = 6 \cdot 70$

Step 2.1.1.1.2

Rewrite the expression.

$48 + 74 + 69 + 58 + 69 + x = 6 \cdot 70$

Step 2.1.1.2

Simplify by adding numbers.

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Step 2.1.1.2.1

Add $48$ and $74$ .

$122 + 69 + 58 + 69 + x = 6 \cdot 70$

Step 2.1.1.2.2

Add $122$ and $69$ .

$191 + 58 + 69 + x = 6 \cdot 70$

Step 2.1.1.2.3

Add $191$ and $58$ .

$249 + 69 + x = 6 \cdot 70$

Step 2.1.1.2.4

Add $249$ and $69$ .

$318 + x = 6 \cdot 70$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $6$ by $70$ .

$318 + x = 420$

Step 3

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

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Step 3.1

Subtract $318$ from both sides of the equation.

$x = 420 - 318$

Step 3.2

Subtract $318$ from $420$ .

$x = 102$