Basic Math Examples

$\frac{1}{7} \cdot (10 + t) = 7$

Step 1

Multiply both sides of the equation by $7$ .

$7 (\frac{1}{7} \cdot (10 + t)) = 7 \cdot 7$

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 $7 (\frac{1}{7} \cdot (10 + t))$ .

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Step 2.1.1.1

Apply the distributive property.

$7 (\frac{1}{7} \cdot 10 + \frac{1}{7} t) = 7 \cdot 7$

Step 2.1.1.2

Combine $\frac{1}{7}$ and $10$ .

$7 (\frac{10}{7} + \frac{1}{7} t) = 7 \cdot 7$

Step 2.1.1.3

Combine $\frac{1}{7}$ and $t$ .

$7 (\frac{10}{7} + \frac{t}{7}) = 7 \cdot 7$

Step 2.1.1.4

Apply the distributive property.

$7 (\frac{10}{7}) + 7 \frac{t}{7} = 7 \cdot 7$

Step 2.1.1.5

Cancel the common factor of $7$ .

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Step 2.1.1.5.1

Cancel the common factor.

$7 (\frac{10}{7}) + 7 \frac{t}{7} = 7 \cdot 7$

Step 2.1.1.5.2

Rewrite the expression.

$10 + 7 \frac{t}{7} = 7 \cdot 7$

$10 + 7 \frac{t}{7} = 7 \cdot 7$

Step 2.1.1.6

Cancel the common factor of $7$ .

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Step 2.1.1.6.1

Cancel the common factor.

$10 + 7 \frac{t}{7} = 7 \cdot 7$

Step 2.1.1.6.2

Rewrite the expression.

$10 + t = 7 \cdot 7$

$10 + t = 7 \cdot 7$

$10 + t = 7 \cdot 7$

$10 + t = 7 \cdot 7$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $7$ by $7$ .

$10 + t = 49$

$10 + t = 49$

$10 + t = 49$

Step 3

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

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Step 3.1

Subtract $10$ from both sides of the equation.

$t = 49 - 10$

Step 3.2

Subtract $10$ from $49$ .

$t = 39$

$t = 39$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$