Solve -2x-6(2x-3)=-2(3x-1)

$$- 2 x - 6 ( 2 x - 3 ) = - 2 ( 3 x - 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 2x-3.

$$-2x-12x+18=-2\left(3x-1\right)$$

Combine -2x and -12x to get -14x.

$$-14x+18=-2\left(3x-1\right)$$

Use the distributive property to multiply -2 by 3x-1.

$$-14x+18=-6x+2$$

Add 6x to both sides.

$$-14x+18+6x=2$$

Combine -14x and 6x to get -8x.

$$-8x+18=2$$

Subtract 18 from both sides.

$$-8x=2-18$$

Subtract 18 from 2 to get -16.

$$-8x=-16$$

Divide both sides by -8.

$$x=\frac{-16}{-8}$$

Divide -16 by -8 to get 2.

$$x=2$$