Solve 5x+(-6x+5)-2-(-x+3)=-(7x+23)-x+(3-2x)

$$5 x + ( - 6 x + 5 ) - 2 - ( - x + 3 ) = - ( 7 x + 23 ) - x + ( 3 - 2 x )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Combine 5x and -6x to get -x.

$$-x+5-2-\left(-x+3\right)=-\left(7x+23\right)-x+3-2x$$

Subtract 2 from 5 to get 3.

$$-x+3-\left(-x+3\right)=-\left(7x+23\right)-x+3-2x$$

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

$$-x+3-\left(-x\right)-3=-\left(7x+23\right)-x+3-2x$$

Subtract 3 from 3 to get 0.

$$-x-\left(-x\right)=-\left(7x+23\right)-x+3-2x$$

To find the opposite of 7x+23, find the opposite of each term.

$$-x-\left(-x\right)=-7x-23-x+3-2x$$

Combine -7x and -x to get -8x.

$$-x-\left(-x\right)=-8x-23+3-2x$$

Add -23 and 3 to get -20.

$$-x-\left(-x\right)=-8x-20-2x$$

Combine -8x and -2x to get -10x.

$$-x-\left(-x\right)=-10x-20$$

Add 10x to both sides.

$$-x-\left(-x\right)+10x=-20$$

Combine -x and 10x to get 9x.

$$9x-\left(-x\right)=-20$$

Multiply -1 and -1 to get 1.

$$9x+x=-20$$

Combine 9x and x to get 10x.

$$10x=-20$$

Divide both sides by 10.

$$x=\frac{-20}{10}$$

Divide -20 by 10 to get -2.

$$x=-2$$