Solve 4(3x-1)+11=2(3x-1)-9

$$4 ( 3 x - 1 ) + 11 = 2 ( 3 x - 1 ) - 9$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3x-1.

$$12x-4+11=2\left(3x-1\right)-9$$

Add -4 and 11 to get 7.

$$12x+7=2\left(3x-1\right)-9$$

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

$$12x+7=6x-2-9$$

Subtract 9 from -2 to get -11.

$$12x+7=6x-11$$

Subtract 6x from both sides.

$$12x+7-6x=-11$$

Combine 12x and -6x to get 6x.

$$6x+7=-11$$

Subtract 7 from both sides.

$$6x=-11-7$$

Subtract 7 from -11 to get -18.

$$6x=-18$$

Divide both sides by 6.

$$x=\frac{-18}{6}$$

Divide -18 by 6 to get -3.

$$x=-3$$