Finite Math Examples

$x + \frac{9}{8} = \frac{7}{8} x$

Step 1

Simplify $\frac{7}{8} x$ .

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Step 1.1

Rewrite.

$x + \frac{9}{8} = 0 + 0 + \frac{7}{8} x$

Step 1.2

Simplify by adding zeros.

$x + \frac{9}{8} = \frac{7}{8} x$

Step 1.3

Combine $\frac{7}{8}$ and $x$ .

$x + \frac{9}{8} = \frac{7 x}{8}$

Step 2

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

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Step 2.1

Subtract $\frac{7 x}{8}$ from both sides of the equation.

$x + \frac{9}{8} - \frac{7 x}{8} = 0$

Step 2.2

To write $x$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x \cdot \frac{8}{8} - \frac{7 x}{8} + \frac{9}{8} = 0$

Step 2.3

Combine $x$ and $\frac{8}{8}$ .

$\frac{x \cdot 8}{8} - \frac{7 x}{8} + \frac{9}{8} = 0$

Step 2.4

Combine the numerators over the common denominator.

$\frac{x \cdot 8 - 7 x}{8} + \frac{9}{8} = 0$

Step 2.5

Combine the numerators over the common denominator.

$\frac{x \cdot 8 - 7 x + 9}{8} = 0$

Step 2.6

Move $8$ to the left of $x$ .

$\frac{8 x - 7 x + 9}{8} = 0$

Step 2.7

Subtract $7 x$ from $8 x$ .

$\frac{x + 9}{8} = 0$

Step 3

Set the numerator equal to zero.

$x + 9 = 0$

Step 4

Subtract $9$ from both sides of the equation.

$x = - 9$