Solve 2(3x-6)=3(11x+2)

$$2 ( 3 x - 6 ) = 3 ( 11 x + 2 )$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

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

$$6x-12=3\left(11x+2\right)$$

Use the distributive property to multiply 3 by 11x+2.

$$6x-12=33x+6$$

Subtract 33x from both sides.

$$6x-12-33x=6$$

Combine 6x and -33x to get -27x.

$$-27x-12=6$$

Add 12 to both sides.

$$-27x=6+12$$

Add 6 and 12 to get 18.

$$-27x=18$$

Divide both sides by -27.

$$x=\frac{18}{-27}$$

Reduce the fraction \frac{18}{-27} to lowest terms by extracting and canceling out 9.

$$x=-\frac{2}{3}$$