Solve E=-[-3x+(-x-{2y-3})]+{-(2x+y)+(-x-3)+2-[x+y]}

$$E = - [ - 3 x + ( - x - \{ 2 y - 3 \} ) ] + \{ - ( 2 x + y ) + ( - x - 3 ) + 2 - [ x + y ] \}$$

Solve for E

$$E=-4$$

Steps for Solving Linear Equation

To find the opposite of 2y-3, find the opposite of each term.

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

To find the opposite of -3x-x-2y+3, find the opposite of each term.

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

To find the opposite of 2x+y, find the opposite of each term.

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

Combine 3x and -2x to get x.

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

Combine 2y and -y to get y.

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

Subtract 3 from -3 to get -6.

$$E=x-\left(-x\right)+y-6-x+2-\left(x+y\right)$$

Add -6 and 2 to get -4.

$$E=x-\left(-x\right)+y-4-x-\left(x+y\right)$$

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

$$E=x-\left(-x\right)+y-4-x-x-y$$

Combine x and -x to get 0.

$$E=-\left(-x\right)+y-4-x-y$$

Combine y and -y to get 0.

$$E=-\left(-x\right)-4-x$$

Multiply -1 and -1 to get 1.

$$E=x-4-x$$

Combine x and -x to get 0.

$$E=-4$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$E=-4$$

Solve for x

$$x\in \mathrm{R}$$

$$E=-4$$