Solve by Factoring 7-3x=x-4(2+x)

$7 - 3 x = x - 4 (2 + x)$

Step 1

Move all the expressions to the left side of the equation.

Subtract $x$ from both sides of the equation.

$7 - 3 x - x = - 4 (2 + x)$

Add $4 (2 + x)$ to both sides of the equation.

$7 - 3 x - x + 4 (2 + x) = 0$

Step 2

Simplify $7 - 3 x - x + 4 (2 + x)$ .

Simplify each term.

Apply the distributive property.

$7 - 3 x - x + 4 \cdot 2 + 4 x = 0$

Multiply $4$ by $2$ .

$7 - 3 x - x + 8 + 4 x = 0$

Add $7$ and $8$ .

$- 3 x - x + 15 + 4 x = 0$

Subtract $x$ from $- 3 x$ .

$- 4 x + 15 + 4 x = 0$

Combine the opposite terms in $- 4 x + 15 + 4 x$ .

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

$0 + 15 = 0$

Add $0$ and $15$ .

$15 = 0$

Step 3

Since $15 \neq 0$ , there are no solutions.

No solution