Solve (x-3)-5(1+x)-1=x+2(1-2x)

$$( x - 3 ) - 5 ( 1 + x ) - 1 = x + 2 ( 1 - 2 x )$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 1+x.

$$x-3-5-5x-1=x+2\left(1-2x\right)$$

Subtract 5 from -3 to get -8.

$$x-8-5x-1=x+2\left(1-2x\right)$$

Combine x and -5x to get -4x.

$$-4x-8-1=x+2\left(1-2x\right)$$

Subtract 1 from -8 to get -9.

$$-4x-9=x+2\left(1-2x\right)$$

Use the distributive property to multiply 2 by 1-2x.

$$-4x-9=x+2-4x$$

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

$$-4x-9=-3x+2$$

Add 3x to both sides.

$$-4x-9+3x=2$$

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

$$-x-9=2$$

Add 9 to both sides.

$$-x=2+9$$

Add 2 and 9 to get 11.

$$-x=11$$

Multiply both sides by -1.

$$x=-11$$