Solve by Factoring 4(x+1)=4x+10

$4 (x + 1) = 4 x + 10$

Step 1

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

Subtract $4 x$ from both sides of the equation.

$4 (x + 1) - 4 x = 10$

Subtract $10$ from both sides of the equation.

$4 (x + 1) - 4 x - 10 = 0$

Step 2

Simplify $4 (x + 1) - 4 x - 10$ .

Simplify each term.

Apply the distributive property.

$4 x + 4 \cdot 1 - 4 x - 10 = 0$

Multiply $4$ by $1$ .

$4 x + 4 - 4 x - 10 = 0$

Combine the opposite terms in $4 x + 4 - 4 x - 10$ .

Subtract $4 x$ from $4 x$ .

$0 + 4 - 10 = 0$

Add $0$ and $4$ .

$4 - 10 = 0$

Subtract $10$ from $4$ .

$- 6 = 0$

Step 3

Since $- 6 \neq 0$ , there are no solutions.

No solution