Solve 3(x-8)-3(6-4(x-2))=-34

$$3(x-8)-3(6-4(x-2))=-34$$

Solve for x

$$x = \frac{32}{15} = 2\frac{2}{15} \approx 2.133333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-8.

$$3x-24-3\left(6-4\left(x-2\right)\right)=-34$$

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

$$3x-24-3\left(6-4x+8\right)=-34$$

Add 6 and 8 to get 14.

$$3x-24-3\left(14-4x\right)=-34$$

Use the distributive property to multiply -3 by 14-4x.

$$3x-24-42+12x=-34$$

Subtract 42 from -24 to get -66.

$$3x-66+12x=-34$$

Combine 3x and 12x to get 15x.

$$15x-66=-34$$

Add 66 to both sides.

$$15x=-34+66$$

Add -34 and 66 to get 32.

$$15x=32$$

Divide both sides by 15.

$$x=\frac{32}{15}$$