Solve 3x-[3+{x-3x-x}]=5+2x

$$3 x - [ 3 + \{ x - 3 x - x \} ] = 5 + 2 x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

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

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

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

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

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

The opposite of -3x is 3x.

$$3x-3+3x=5+2x$$

Combine 3x and 3x to get 6x.

$$6x-3=5+2x$$

Subtract 2x from both sides.

$$6x-3-2x=5$$

Combine 6x and -2x to get 4x.

$$4x-3=5$$

Add 3 to both sides.

$$4x=5+3$$

Add 5 and 3 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$