Finite Math Examples

$5 x + 4 y + 50 = 180$

Step 1

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

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Step 1.1

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

$5 x + 50 = 180 - 4 y$

Step 1.2

Subtract $50$ from both sides of the equation.

$5 x = 180 - 4 y - 50$

Step 1.3

Subtract $50$ from $180$ .

$5 x = - 4 y + 130$

Step 2

Divide each term in $5 x = - 4 y + 130$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = - 4 y + 130$ by $5$ .

$\frac{5 x}{5} = \frac{- 4 y}{5} + \frac{130}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 4 y}{5} + \frac{130}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 4 y}{5} + \frac{130}{5}$

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.

$x = - \frac{4 y}{5} + \frac{130}{5}$

Step 2.3.1.2

Divide $130$ by $5$ .

$x = - \frac{4 y}{5} + 26$