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

$$4 \times (x-1)-(2-x)=4x-5$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

The opposite of -x is x.

$$4x-4-2+x=4x-5$$

Subtract 2 from -4 to get -6.

$$4x-6+x=4x-5$$

Combine 4x and x to get 5x.

$$5x-6=4x-5$$

Subtract 4x from both sides.

$$5x-6-4x=-5$$

Combine 5x and -4x to get x.

$$x-6=-5$$

Add 6 to both sides.

$$x=-5+6$$

Add -5 and 6 to get 1.

$$x=1$$