Solve x-(x+3)-2(x+5)=5-4(x+3)

$$x-(x+3)-2(x+5)=5-4(x+3)$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$x-x-3-2\left(x+5\right)=5-4\left(x+3\right)$$

Combine x and -x to get 0.

$$-3-2\left(x+5\right)=5-4\left(x+3\right)$$

Use the distributive property to multiply -2 by x+5.

$$-3-2x-10=5-4\left(x+3\right)$$

Subtract 10 from -3 to get -13.

$$-13-2x=5-4\left(x+3\right)$$

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

$$-13-2x=5-4x-12$$

Subtract 12 from 5 to get -7.

$$-13-2x=-7-4x$$

Add 4x to both sides.

$$-13-2x+4x=-7$$

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

$$-13+2x=-7$$

Add 13 to both sides.

$$2x=-7+13$$

Add -7 and 13 to get 6.

$$2x=6$$

Divide both sides by 2.

$$x=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x=3$$