Solve for x 2x+1-4=-2x-3

$2 x + 1 - 4 = - 2 x - 3$

Step 1

Subtract $4$ from $1$ .

$2 x - 3 = - 2 x - 3$

Step 2

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

Add $2 x$ to both sides of the equation.

$2 x - 3 + 2 x = - 3$

Add $2 x$ and $2 x$ .

$4 x - 3 = - 3$

Step 3

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

Add $3$ to both sides of the equation.

$4 x = - 3 + 3$

Add $- 3$ and $3$ .

$4 x = 0$

Step 4

Divide each term in $4 x = 0$ by $4$ and simplify.

Divide each term in $4 x = 0$ by $4$ .

$\frac{4 x}{4} = \frac{0}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{0}{4}$

Divide $x$ by $1$ .

$x = \frac{0}{4}$

Simplify the right side.

Divide $0$ by $4$ .

$x = 0$