Solve 12x+2[6+7(x+1)]=0

$$12 x + 2 [ 6 + 7 ( x + 1 ) ] = 0$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x+1.

$$12x+2\left(6+7x+7\right)=0$$

Add 6 and 7 to get 13.

$$12x+2\left(13+7x\right)=0$$

Use the distributive property to multiply 2 by 13+7x.

$$12x+26+14x=0$$

Combine 12x and 14x to get 26x.

$$26x+26=0$$

Subtract 26 from both sides. Anything subtracted from zero gives its negation.

$$26x=-26$$

Divide both sides by 26.

$$x=\frac{-26}{26}$$

Divide -26 by 26 to get -1.

$$x=-1$$