Algebra Examples

$b - 7 x = a - b$

Step 1

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

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Step 1.1

Subtract $b$ from both sides of the equation.

$- 7 x = a - b - b$

Step 1.2

Subtract $b$ from $- b$ .

$- 7 x = a - 2 b$

Step 2

Divide each term in $- 7 x = a - 2 b$ by $- 7$ and simplify.

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Step 2.1

Divide each term in $- 7 x = a - 2 b$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{a}{- 7} + \frac{- 2 b}{- 7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{a}{- 7} + \frac{- 2 b}{- 7}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{a}{- 7} + \frac{- 2 b}{- 7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$x = - \frac{a}{7} + \frac{- 2 b}{- 7}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x = - \frac{a}{7} + \frac{2 b}{7}$