Solve -2x-3(2x-4)=-(x+3)-6

$$- 2 x - 3 ( 2 x - 4 ) = - ( x + 3 ) - 6$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x-4.

$$-2x-6x+12=-\left(x+3\right)-6$$

Combine -2x and -6x to get -8x.

$$-8x+12=-\left(x+3\right)-6$$

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

$$-8x+12=-x-3-6$$

Subtract 6 from -3 to get -9.

$$-8x+12=-x-9$$

Add x to both sides.

$$-8x+12+x=-9$$

Combine -8x and x to get -7x.

$$-7x+12=-9$$

Subtract 12 from both sides.

$$-7x=-9-12$$

Subtract 12 from -9 to get -21.

$$-7x=-21$$

Divide both sides by -7.

$$x=\frac{-21}{-7}$$

Divide -21 by -7 to get 3.

$$x=3$$