Solve for x 6x-10-8=9+4x-4x

$6 x - 10 - 8 = 9 + 4 x - 4 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$9 + 4 x - 4 x = 6 x - 10 - 8$

Combine the opposite terms in $9 + 4 x - 4 x$ .

Subtract $4 x$ from $4 x$ .

$9 + 0 = 6 x - 10 - 8$

Add $9$ and $0$ .

$9 = 6 x - 10 - 8$

Subtract $8$ from $- 10$ .

$9 = 6 x - 18$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x - 18 = 9$

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

Add $18$ to both sides of the equation.

$6 x = 9 + 18$

Add $9$ and $18$ .

$6 x = 27$

Divide each term in $6 x = 27$ by $6$ and simplify.

Divide each term in $6 x = 27$ by $6$ .

$\frac{6 x}{6} = \frac{27}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{27}{6}$

Divide $x$ by $1$ .

$x = \frac{27}{6}$

Simplify the right side.

Cancel the common factor of $27$ and $6$ .

Factor $3$ out of $27$ .

$x = \frac{3 (9)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$x = \frac{3 \cdot 9}{3 \cdot 2}$

Cancel the common factor.

$x = \frac{3 \cdot 9}{3 \cdot 2}$

Rewrite the expression.

$x = \frac{9}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{2}$

Decimal Form:

$x = 4.5$

Mixed Number Form:

$x = 4 \frac{1}{2}$