Solve for x 16x=6x+100

$16 x = 6 x + 100$

Step 1

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

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

$16 x - 6 x = 100$

Subtract $6 x$ from $16 x$ .

$10 x = 100$

Step 2

Divide each term in $10 x = 100$ by $10$ and simplify.

Divide each term in $10 x = 100$ by $10$ .

$\frac{10 x}{10} = \frac{100}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{100}{10}$

Divide $x$ by $1$ .

$x = \frac{100}{10}$

Simplify the right side.

Divide $100$ by $10$ .

$x = 10$