Algebra Examples

$b - \frac{x}{10} = a$

Step 1

Subtract $b$ from both sides of the equation.

$- \frac{x}{10} = a - b$

Step 2

Multiply both sides of the equation by $- 10$ .

$- 10 (- \frac{x}{10}) = - 10 (a - b)$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 10 (- \frac{x}{10})$ .

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Step 3.1.1.1

Cancel the common factor of $10$ .

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Step 3.1.1.1.1

Move the leading negative in $- \frac{x}{10}$ into the numerator.

$- 10 \frac{- x}{10} = - 10 (a - b)$

Step 3.1.1.1.2

Factor $10$ out of $- 10$ .

$10 (- 1) \frac{- x}{10} = - 10 (a - b)$

Step 3.1.1.1.3

Cancel the common factor.

$10 \cdot - 1 \frac{- x}{10} = - 10 (a - b)$

Step 3.1.1.1.4

Rewrite the expression.

$- - x = - 10 (a - b)$

$- - x = - 10 (a - b)$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 10 (a - b)$

Step 3.1.1.2.2

Multiply $x$ by $1$ .

$x = - 10 (a - b)$

$x = - 10 (a - b)$

$x = - 10 (a - b)$

$x = - 10 (a - b)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $- 10 (a - b)$ .

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Step 3.2.1.1

Apply the distributive property.

$x = - 10 a - 10 (- b)$

Step 3.2.1.2

Multiply $- 1$ by $- 10$ .

$x = - 10 a + 10 b$

$x = - 10 a + 10 b$

$x = - 10 a + 10 b$

$x = - 10 a + 10 b$

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