Solve for x x+x-4=17-2x+1

$x + x - 4 = 17 - 2 x + 1$

Add $x$ and $x$ .

$2 x - 4 = 17 - 2 x + 1$

Add $17$ and $1$ .

$2 x - 4 = - 2 x + 18$

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

Add $2 x$ to both sides of the equation.

$2 x - 4 + 2 x = 18$

Add $2 x$ and $2 x$ .

$4 x - 4 = 18$

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

Add $4$ to both sides of the equation.

$4 x = 18 + 4$

Add $18$ and $4$ .

$4 x = 22$

Divide each term in $4 x = 22$ by $4$ and simplify.

Divide each term in $4 x = 22$ by $4$ .

$\frac{4 x}{4} = \frac{22}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{22}{4}$

Divide $x$ by $1$ .

$x = \frac{22}{4}$

Simplify the right side.

Cancel the common factor of $22$ and $4$ .

Factor $2$ out of $22$ .

$x = \frac{2 (11)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 11}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot 11}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{11}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{2}$

Decimal Form:

$x = 5.5$

Mixed Number Form:

$x = 5 \frac{1}{2}$