Solve by Factoring 24x-22=-4(1-6x)

$24 x - 22 = - 4 (1 - 6 x)$

Step 1

Add $4 (1 - 6 x)$ to both sides of the equation.

$24 x - 22 + 4 (1 - 6 x) = 0$

Step 2

Simplify $24 x - 22 + 4 (1 - 6 x)$ .

Simplify each term.

Apply the distributive property.

$24 x - 22 + 4 \cdot 1 + 4 (- 6 x) = 0$

Multiply $4$ by $1$ .

$24 x - 22 + 4 + 4 (- 6 x) = 0$

Multiply $- 6$ by $4$ .

$24 x - 22 + 4 - 24 x = 0$

Combine the opposite terms in $24 x - 22 + 4 - 24 x$ .

Subtract $24 x$ from $24 x$ .

$0 - 22 + 4 = 0$

Subtract $22$ from $0$ .

$- 22 + 4 = 0$

Add $- 22$ and $4$ .

$- 18 = 0$

Step 3

Since $- 18 \neq 0$ , there are no solutions.

No solution