Solve x-[5+3x-{5x-(6+x)}]=-3

$$x - [ 5 + 3 x - \{ 5 x - ( 6 + x ) \} ] = - 3$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

To find the opposite of 6+x, find the opposite of each term.

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

Combine 5x and -x to get 4x.

$$x-\left(5+3x-\left(4x-6\right)\right)=-3$$

To find the opposite of 4x-6, find the opposite of each term.

$$x-\left(5+3x-4x-\left(-6\right)\right)=-3$$

The opposite of -6 is 6.

$$x-\left(5+3x-4x+6\right)=-3$$

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

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

Add 5 and 6 to get 11.

$$x-\left(11-x\right)=-3$$

To find the opposite of 11-x, find the opposite of each term.

$$x-11-\left(-x\right)=-3$$

The opposite of -x is x.

$$x-11+x=-3$$

Combine x and x to get 2x.

$$2x-11=-3$$

Add 11 to both sides.

$$2x=-3+11$$

Add -3 and 11 to get 8.

$$2x=8$$

Divide both sides by 2.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$