Solve for x (7x)/2+5=8

$\frac{7 x}{2} + 5 = 8$

Step 1

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

Subtract $5$ from both sides of the equation.

$\frac{7 x}{2} = 8 - 5$

Subtract $5$ from $8$ .

$\frac{7 x}{2} = 3$

Step 2

Multiply both sides of the equation by $\frac{2}{7}$ .

$\frac{2}{7} \cdot \frac{7 x}{2} = \frac{2}{7} \cdot 3$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{7} \cdot \frac{7 x}{2}$ .

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{7} \cdot \frac{7 x}{2} = \frac{2}{7} \cdot 3$

Rewrite the expression.

$\frac{1}{7} (7 x) = \frac{2}{7} \cdot 3$

Cancel the common factor of $7$ .

Factor $7$ out of $7 x$ .

$\frac{1}{7} (7 (x)) = \frac{2}{7} \cdot 3$

Cancel the common factor.

$\frac{1}{7} (7 x) = \frac{2}{7} \cdot 3$

Rewrite the expression.

$x = \frac{2}{7} \cdot 3$

Simplify the right side.

Multiply $\frac{2}{7} \cdot 3$ .

Combine $\frac{2}{7}$ and $3$ .

$x = \frac{2 \cdot 3}{7}$

Multiply $2$ by $3$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{857142}$