Solve for x 17x-8=3x+16

$17 x - 8 = 3 x + 16$

Step 1

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

Subtract $3 x$ from both sides of the equation.

$17 x - 8 - 3 x = 16$

Subtract $3 x$ from $17 x$ .

$14 x - 8 = 16$

Step 2

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

Add $8$ to both sides of the equation.

$14 x = 16 + 8$

Add $16$ and $8$ .

$14 x = 24$

Step 3

Divide each term in $14 x = 24$ by $14$ and simplify.

Divide each term in $14 x = 24$ by $14$ .

$\frac{14 x}{14} = \frac{24}{14}$

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$\frac{14 x}{14} = \frac{24}{14}$

Divide $x$ by $1$ .

$x = \frac{24}{14}$

Simplify the right side.

Cancel the common factor of $24$ and $14$ .

Factor $2$ out of $24$ .

$x = \frac{2 (12)}{14}$

Cancel the common factors.

Factor $2$ out of $14$ .

$x = \frac{2 \cdot 12}{2 \cdot 7}$

Cancel the common factor.

$x = \frac{2 \cdot 12}{2 \cdot 7}$

Rewrite the expression.

$x = \frac{12}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{12}{7}$

Decimal Form:

$x = 1.\overline{714285}$

Mixed Number Form:

$x = 1 \frac{5}{7}$