Solve for x 6x-9+4x+10+4x-3=180

$6 x - 9 + 4 x + 10 + 4 x - 3 = 180$

Step 1

Simplify $6 x - 9 + 4 x + 10 + 4 x - 3$ .

Add $6 x$ and $4 x$ .

$10 x - 9 + 10 + 4 x - 3 = 180$

Add $10 x$ and $4 x$ .

$14 x - 9 + 10 - 3 = 180$

Simplify by adding and subtracting.

Add $- 9$ and $10$ .

$14 x + 1 - 3 = 180$

Subtract $3$ from $1$ .

$14 x - 2 = 180$

Step 2

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

Add $2$ to both sides of the equation.

$14 x = 180 + 2$

Add $180$ and $2$ .

$14 x = 182$

Step 3

Divide each term in $14 x = 182$ by $14$ and simplify.

Divide each term in $14 x = 182$ by $14$ .

$\frac{14 x}{14} = \frac{182}{14}$

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$\frac{14 x}{14} = \frac{182}{14}$

Divide $x$ by $1$ .

$x = \frac{182}{14}$

Simplify the right side.

Divide $182$ by $14$ .

$x = 13$