Solve for x 3/7x+5=8

$\frac{3}{7} x + 5 = 8$

Step 1

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

$\frac{3 x}{7} + 5 = 8$

Step 2

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

Subtract $5$ from both sides of the equation.

$\frac{3 x}{7} = 8 - 5$

Subtract $5$ from $8$ .

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

Step 3

Multiply both sides of the equation by $\frac{7}{3}$ .

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

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{3} \cdot \frac{3 x}{7}$ .

Cancel the common factor of $7$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 7$