Simplify 17x-6+3x-5=x+11+4x

$17 x - 6 + 3 x - 5 = x + 11 + 4 x$

Simplify $17 x - 6 + 3 x - 5$ .

Add $17 x$ and $3 x$ .

$20 x - 6 - 5 = x + 11 + 4 x$

Subtract $5$ from $- 6$ .

$20 x - 11 = x + 11 + 4 x$

Add $x$ and $4 x$ .

$20 x - 11 = 5 x + 11$

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

Subtract $5 x$ from both sides of the equation.

$20 x - 11 - 5 x = 11$

Subtract $5 x$ from $20 x$ .

$15 x - 11 = 11$

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

Add $11$ to both sides of the equation.

$15 x = 11 + 11$

Add $11$ and $11$ .

$15 x = 22$

Divide each term in $15 x = 22$ by $15$ and simplify.

Divide each term in $15 x = 22$ by $15$ .

$\frac{15 x}{15} = \frac{22}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{22}{15}$

Divide $x$ by $1$ .

$x = \frac{22}{15}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{22}{15}$

Decimal Form:

$x = 1.4\overline{6}$

Mixed Number Form:

$x = 1 \frac{7}{15}$