Solve for x -28x+6=-3(1+7x)-7x

$- 28 x + 6 = - 3 (1 + 7 x) - 7 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 3 (1 + 7 x) - 7 x = - 28 x + 6$

Step 2

Simplify $- 3 (1 + 7 x) - 7 x$ .

Simplify each term.

Apply the distributive property.

$- 3 \cdot 1 - 3 (7 x) - 7 x = - 28 x + 6$

Multiply $- 3$ by $1$ .

$- 3 - 3 (7 x) - 7 x = - 28 x + 6$

Multiply $7$ by $- 3$ .

$- 3 - 21 x - 7 x = - 28 x + 6$

Subtract $7 x$ from $- 21 x$ .

$- 3 - 28 x = - 28 x + 6$

Step 3

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

Add $28 x$ to both sides of the equation.

$- 3 - 28 x + 28 x = 6$

Combine the opposite terms in $- 3 - 28 x + 28 x$ .

Add $- 28 x$ and $28 x$ .

$- 3 + 0 = 6$

Add $- 3$ and $0$ .

$- 3 = 6$

Step 4

Since $- 3 \neq 6$ , there are no solutions.

No solution