Finite Math Examples

$3 x + \frac{4}{5} = 4 x + \frac{3}{5}$

Step 1

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

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Step 1.1

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

$3 x + \frac{4}{5} - 4 x = \frac{3}{5}$

Step 1.2

Subtract $4 x$ from $3 x$ .

$- x + \frac{4}{5} = \frac{3}{5}$

Step 2

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

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Step 2.1

Subtract $\frac{4}{5}$ from both sides of the equation.

$- x = \frac{3}{5} - \frac{4}{5}$

Step 2.2

Combine the numerators over the common denominator.

$- x = \frac{3 - 4}{5}$

Step 2.3

Subtract $4$ from $3$ .

$- x = \frac{- 1}{5}$

Step 2.4

Move the negative in front of the fraction.

$- x = - \frac{1}{5}$

Step 3

Divide each term in $- x = - \frac{1}{5}$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = - \frac{1}{5}$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- \frac{1}{5}}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- \frac{1}{5}}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{- \frac{1}{5}}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Dividing two negative values results in a positive value.

$x = \frac{\frac{1}{5}}{1}$

Step 3.3.2

Divide $\frac{1}{5}$ by $1$ .

$x = \frac{1}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$