Find All Complex Solutions 7(x+2)=7x-10

$7 (x + 2) = 7 x - 10$

Step 1

Simplify $7 (x + 2)$ .

Rewrite.

$0 + 0 + 7 (x + 2) = 7 x - 10$

Simplify by adding zeros.

$7 (x + 2) = 7 x - 10$

Apply the distributive property.

$7 x + 7 \cdot 2 = 7 x - 10$

Multiply $7$ by $2$ .

$7 x + 14 = 7 x - 10$

Step 2

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

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

$7 x + 14 - 7 x = - 10$

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

Subtract $7 x$ from $7 x$ .

$0 + 14 = - 10$

Add $0$ and $14$ .

$14 = - 10$

Step 3

Since $14 \neq - 10$ , there are no solutions.

No solution