Solve for x 5x=7x+4

$5 x = 7 x + 4$

Step 1

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

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

$5 x - 7 x = 4$

Subtract $7 x$ from $5 x$ .

$- 2 x = 4$

Step 2

Divide each term in $- 2 x = 4$ by $- 2$ and simplify.

Divide each term in $- 2 x = 4$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $4$ by $- 2$ .

$x = - 2$