Solve 3(4-x)+6-2x=2-[x-(3-x)+2]-5

$$3 ( 4 - x ) + 6 - 2 x = 2 - [ x - ( 3 - x ) + 2 ] - 5$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

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

$$12-3x+6-2x=2-\left(x-\left(3-x\right)+2\right)-5$$

Add 12 and 6 to get 18.

$$18-3x-2x=2-\left(x-\left(3-x\right)+2\right)-5$$

Combine -3x and -2x to get -5x.

$$18-5x=2-\left(x-\left(3-x\right)+2\right)-5$$

To find the opposite of 3-x, find the opposite of each term.

$$18-5x=2-\left(x-3-\left(-x\right)+2\right)-5$$

The opposite of -x is x.

$$18-5x=2-\left(x-3+x+2\right)-5$$

Combine x and x to get 2x.

$$18-5x=2-\left(2x-3+2\right)-5$$

Add -3 and 2 to get -1.

$$18-5x=2-\left(2x-1\right)-5$$

To find the opposite of 2x-1, find the opposite of each term.

$$18-5x=2-2x-\left(-1\right)-5$$

The opposite of -1 is 1.

$$18-5x=2-2x+1-5$$

Add 2 and 1 to get 3.

$$18-5x=3-2x-5$$

Subtract 5 from 3 to get -2.

$$18-5x=-2-2x$$

Add 2x to both sides.

$$18-5x+2x=-2$$

Combine -5x and 2x to get -3x.

$$18-3x=-2$$

Subtract 18 from both sides.

$$-3x=-2-18$$

Subtract 18 from -2 to get -20.

$$-3x=-20$$

Divide both sides by -3.

$$x=\frac{-20}{-3}$$

Fraction \frac{-20}{-3} can be simplified to \frac{20}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{20}{3}$$