Solve -2(6-2x)=2(2x-5)-(3-x)

$$-2(6-2x)=2(2x-5)-(3-x)$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 6-2x.

$$-12+4x=2\left(2x-5\right)-\left(3-x\right)$$

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

$$-12+4x=4x-10-\left(3-x\right)$$

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

$$-12+4x=4x-10-3-\left(-x\right)$$

The opposite of -x is x.

$$-12+4x=4x-10-3+x$$

Subtract 3 from -10 to get -13.

$$-12+4x=4x-13+x$$

Combine 4x and x to get 5x.

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

Subtract 5x from both sides.

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

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

$$-12-x=-13$$

Add 12 to both sides.

$$-x=-13+12$$

Add -13 and 12 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$