Algebra Examples

$- 1 = \frac{x_{1} - 45}{8.3}$

Step 1

Multiply both sides by $8.3$ .

$- 1 \cdot 8.3 = \frac{x_{1} - 45}{8.3} \cdot 8.3$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $- 1$ by $8.3$ .

$- 8.3 = \frac{x_{1} - 45}{8.3} \cdot 8.3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $8.3$ .

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Step 2.2.1.1

Cancel the common factor.

$- 8.3 = \frac{x_{1} - 45}{8.3} \cdot 8.3$

Step 2.2.1.2

Rewrite the expression.

$- 8.3 = x_{1} - 45$

Step 3

Solve for $x_{1}$ .

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Step 3.1

Rewrite the equation as $x_{1} - 45 = - 8.3$ .

$x_{1} - 45 = - 8.3$

Step 3.2

Move all terms not containing $x_{1}$ to the right side of the equation.

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Step 3.2.1

Add $45$ to both sides of the equation.

$x_{1} = - 8.3 + 45$

Step 3.2.2

Add $- 8.3$ and $45$ .

$x_{1} = 36.7$