Algebra Examples

$x + 4 y = 122 x + 5 y + 18$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $122 x$ from both sides of the equation.

$x + 4 y - 122 x = 5 y + 18$

Step 1.2

Subtract $122 x$ from $x$ .

$- 121 x + 4 y = 5 y + 18$

Step 2

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

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Step 2.1

Subtract $4 y$ from both sides of the equation.

$- 121 x = 5 y + 18 - 4 y$

Step 2.2

Subtract $4 y$ from $5 y$ .

$- 121 x = y + 18$

Step 3

Divide each term in $- 121 x = y + 18$ by $- 121$ and simplify.

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Step 3.1

Divide each term in $- 121 x = y + 18$ by $- 121$ .

$\frac{- 121 x}{- 121} = \frac{y}{- 121} + \frac{18}{- 121}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 121$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 121 x}{- 121} = \frac{y}{- 121} + \frac{18}{- 121}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{y}{- 121} + \frac{18}{- 121}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

$x = - \frac{y}{121} + \frac{18}{- 121}$

Step 3.3.1.2

Move the negative in front of the fraction.

$x = - \frac{y}{121} - \frac{18}{121}$