Solve x-2(x-3(x+4)-6)=1

$$x-2(x-3(x+4)-6)=1$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x+4.

$$x-2\left(x-3x-12-6\right)=1$$

Combine x and -3x to get -2x.

$$x-2\left(-2x-12-6\right)=1$$

Subtract 6 from -12 to get -18.

$$x-2\left(-2x-18\right)=1$$

Use the distributive property to multiply -2 by -2x-18.

$$x+4x+36=1$$

Combine x and 4x to get 5x.

$$5x+36=1$$

Subtract 36 from both sides.

$$5x=1-36$$

Subtract 36 from 1 to get -35.

$$5x=-35$$

Divide both sides by 5.

$$x=\frac{-35}{5}$$

Divide -35 by 5 to get -7.

$$x=-7$$