Solve (x+1)*3+2[2(3-x)-1]=12

$$( x + 1 ) \times 3 + 2 [ 2 ( 3 - x ) - 1 ] = 12$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+1 by 3.

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

Use the distributive property to multiply 2 by 3-x.

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

Subtract 1 from 6 to get 5.

$$3x+3+2\left(5-2x\right)=12$$

Use the distributive property to multiply 2 by 5-2x.

$$3x+3+10-4x=12$$

Add 3 and 10 to get 13.

$$3x+13-4x=12$$

Combine 3x and -4x to get -x.

$$-x+13=12$$

Subtract 13 from both sides.

$$-x=12-13$$

Subtract 13 from 12 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$