Solve for x 2x+30=7x

$2 x + 30 = 7 x$

Step 1

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

Subtract $7 x$ from both sides of the equation.

$2 x + 30 - 7 x = 0$

Subtract $7 x$ from $2 x$ .

$- 5 x + 30 = 0$

Step 2

Subtract $30$ from both sides of the equation.

$- 5 x = - 30$

Step 3

Divide each term in $- 5 x = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 30$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 30}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$x = 6$