Solve x-(5x-1)=x+2-4(1+x)

$$x - ( 5 x - 1 ) = x + 2 - 4 ( 1 + x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

To find the opposite of 5x-1, find the opposite of each term.

$$x-5x-\left(-1\right)=x+2-4\left(1+x\right)$$

The opposite of -1 is 1.

$$x-5x+1=x+2-4\left(1+x\right)$$

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

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

Use the distributive property to multiply -4 by 1+x.

$$-4x+1=x+2-4-4x$$

Subtract 4 from 2 to get -2.

$$-4x+1=x-2-4x$$

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

$$-4x+1=-3x-2$$

Add 3x to both sides.

$$-4x+1+3x=-2$$

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

$$-x+1=-2$$

Subtract 1 from both sides.

$$-x=-2-1$$

Subtract 1 from -2 to get -3.

$$-x=-3$$

Multiply both sides by -1.

$$x=3$$