Solve 2(x-2)-(4x-1)=3(1-x)

$$2(x-2)-(4x-1)=3(1-x)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$2x-4-\left(4x-1\right)=3\left(1-x\right)$$

To find the opposite of 4x-1, find the opposite of each term.

$$2x-4-4x-\left(-1\right)=3\left(1-x\right)$$

The opposite of -1 is 1.

$$2x-4-4x+1=3\left(1-x\right)$$

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

$$-2x-4+1=3\left(1-x\right)$$

Add -4 and 1 to get -3.

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

Use the distributive property to multiply 3 by 1-x.

$$-2x-3=3-3x$$

Add 3x to both sides.

$$-2x-3+3x=3$$

Combine -2x and 3x to get x.

$$x-3=3$$

Add 3 to both sides.

$$x=3+3$$

Add 3 and 3 to get 6.

$$x=6$$