Solve 4(x-2)-6(1-2x)=-30

$$4 ( x - 2 ) - 6 ( 1 - 2 x ) = - 30$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$4x-8-6\left(1-2x\right)=-30$$

Use the distributive property to multiply -6 by 1-2x.

$$4x-8-6+12x=-30$$

Subtract 6 from -8 to get -14.

$$4x-14+12x=-30$$

Combine 4x and 12x to get 16x.

$$16x-14=-30$$

Add 14 to both sides.

$$16x=-30+14$$

Add -30 and 14 to get -16.

$$16x=-16$$

Divide both sides by 16.

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

Divide -16 by 16 to get -1.

$$x=-1$$