Solve by Factoring 7(x-2)=7x+14

$7 (x - 2) = 7 x + 14$

Step 1

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

Subtract $7 x$ from both sides of the equation.

$7 (x - 2) - 7 x = 14$

Subtract $14$ from both sides of the equation.

$7 (x - 2) - 7 x - 14 = 0$

Step 2

Simplify $7 (x - 2) - 7 x - 14$ .

Simplify each term.

Apply the distributive property.

$7 x + 7 \cdot - 2 - 7 x - 14 = 0$

Multiply $7$ by $- 2$ .

$7 x - 14 - 7 x - 14 = 0$

Combine the opposite terms in $7 x - 14 - 7 x - 14$ .

Subtract $7 x$ from $7 x$ .

$0 - 14 - 14 = 0$

Subtract $14$ from $0$ .

$- 14 - 14 = 0$

Subtract $14$ from $- 14$ .

$- 28 = 0$

Step 3

Since $- 28 \neq 0$ , there are no solutions.

No solution