Solve for x x+2x+4x+6x+7x+10x=360

$x + 2 x + 4 x + 6 x + 7 x + 10 x = 360$

Step 1

Simplify $x + 2 x + 4 x + 6 x + 7 x + 10 x$ .

Add $x$ and $2 x$ .

$3 x + 4 x + 6 x + 7 x + 10 x = 360$

Add $3 x$ and $4 x$ .

$7 x + 6 x + 7 x + 10 x = 360$

Add $7 x$ and $6 x$ .

$13 x + 7 x + 10 x = 360$

Add $13 x$ and $7 x$ .

$20 x + 10 x = 360$

Add $20 x$ and $10 x$ .

$30 x = 360$

Step 2

Divide each term in $30 x = 360$ by $30$ and simplify.

Divide each term in $30 x = 360$ by $30$ .

$\frac{30 x}{30} = \frac{360}{30}$

Simplify the left side.

Cancel the common factor of $30$ .

Cancel the common factor.

$\frac{30 x}{30} = \frac{360}{30}$

Divide $x$ by $1$ .

$x = \frac{360}{30}$

Simplify the right side.

Divide $360$ by $30$ .

$x = 12$