Solve for x 4x+8+27=6x

$4 x + 8 + 27 = 6 x$

Add $8$ and $27$ .

$4 x + 35 = 6 x$

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

Subtract $6 x$ from both sides of the equation.

$4 x + 35 - 6 x = 0$

Subtract $6 x$ from $4 x$ .

$- 2 x + 35 = 0$

Subtract $35$ from both sides of the equation.

$- 2 x = - 35$

Divide each term in $- 2 x = - 35$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 35$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 35}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 35}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 35}{- 2}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{35}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{35}{2}$

Decimal Form:

$x = 17.5$

Mixed Number Form:

$x = 17 \frac{1}{2}$