Solve for x 2(x+2)=4x+1-2x

$2 (x + 2) = 4 x + 1 - 2 x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 x + 1 - 2 x = 2 (x + 2)$

Subtract $2 x$ from $4 x$ .

$2 x + 1 = 2 (x + 2)$

Simplify $2 (x + 2)$ .

Apply the distributive property.

$2 x + 1 = 2 x + 2 \cdot 2$

Multiply $2$ by $2$ .

$2 x + 1 = 2 x + 4$

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

Subtract $2 x$ from both sides of the equation.

$2 x + 1 - 2 x = 4$

Combine the opposite terms in $2 x + 1 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 + 1 = 4$

Add $0$ and $1$ .

$1 = 4$

Since $1 \neq 4$ , there are no solutions.

No solution