Solve for x 1/2(2-4x)+2x=13

$\frac{1}{2} (2 - 4 x) + 2 x = 13$

Step 1

Simplify $\frac{1}{2} \cdot (2 - 4 x) + 2 x$ .

Simplify each term.

Apply the distributive property.

$\frac{1}{2} \cdot 2 + \frac{1}{2} (- 4 x) + 2 x = 13$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{1}{2} \cdot 2 + \frac{1}{2} (- 4 x) + 2 x = 13$

Rewrite the expression.

$1 + \frac{1}{2} (- 4 x) + 2 x = 13$

Cancel the common factor of $2$ .

Factor $2$ out of $- 4 x$ .

$1 + \frac{1}{2} (2 (- 2 x)) + 2 x = 13$

Cancel the common factor.

$1 + \frac{1}{2} (2 (- 2 x)) + 2 x = 13$

Rewrite the expression.

$1 - 2 x + 2 x = 13$

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

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

$1 + 0 = 13$

Add $1$ and $0$ .

$1 = 13$

Step 2

Since $1 \neq 13$ , there are no solutions.

No solution