Solve for x 6/7x-8=7

$\frac{6}{7} x - 8 = 7$

Step 1

Combine $\frac{6}{7}$ and $x$ .

$\frac{6 x}{7} - 8 = 7$

Step 2

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

Add $8$ to both sides of the equation.

$\frac{6 x}{7} = 7 + 8$

Add $7$ and $8$ .

$\frac{6 x}{7} = 15$

Step 3

Multiply both sides of the equation by $\frac{7}{6}$ .

$\frac{7}{6} \cdot \frac{6 x}{7} = \frac{7}{6} \cdot 15$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{6} \cdot \frac{6 x}{7}$ .

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{6} \cdot \frac{6 x}{7} = \frac{7}{6} \cdot 15$

Rewrite the expression.

$\frac{1}{6} (6 x) = \frac{7}{6} \cdot 15$

Cancel the common factor of $6$ .

Factor $6$ out of $6 x$ .

$\frac{1}{6} (6 (x)) = \frac{7}{6} \cdot 15$

Cancel the common factor.

$\frac{1}{6} (6 x) = \frac{7}{6} \cdot 15$

Rewrite the expression.

$x = \frac{7}{6} \cdot 15$

Simplify the right side.

Simplify $\frac{7}{6} \cdot 15$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$x = \frac{7}{3 (2)} \cdot 15$

Factor $3$ out of $15$ .

$x = \frac{7}{3 \cdot 2} \cdot (3 \cdot 5)$

Cancel the common factor.

$x = \frac{7}{3 \cdot 2} \cdot (3 \cdot 5)$

Rewrite the expression.

$x = \frac{7}{2} \cdot 5$

Combine $\frac{7}{2}$ and $5$ .

$x = \frac{7 \cdot 5}{2}$

Multiply $7$ by $5$ .

$x = \frac{35}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{35}{2}$

Decimal Form:

$x = 17.5$

Mixed Number Form:

$x = 17 \frac{1}{2}$

Solve for x 6/7x-8=7

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