Find All Complex Solutions 5x+8-7x=-4x+1

$5 x + 8 - 7 x = - 4 x + 1$

Step 1

Subtract $7 x$ from $5 x$ .

$- 2 x + 8 = - 4 x + 1$

Step 2

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

Add $4 x$ to both sides of the equation.

$- 2 x + 8 + 4 x = 1$

Add $- 2 x$ and $4 x$ .

$2 x + 8 = 1$

Step 3

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

Subtract $8$ from both sides of the equation.

$2 x = 1 - 8$

Subtract $8$ from $1$ .

$2 x = - 7$

Step 4

Divide each term in $2 x = - 7$ by $2$ and simplify.

Divide each term in $2 x = - 7$ by $2$ .

$\frac{2 x}{2} = \frac{- 7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 7}{2}$

Divide $x$ by $1$ .

$x = \frac{- 7}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{7}{2}$