Solve 2[3(x+5)-9]=-3(2x-4)

$$2 [ 3 ( x + 5 ) - 9 ] = - 3 ( 2 x - 4 )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+5.

$$2\left(3x+15-9\right)=-3\left(2x-4\right)$$

Subtract 9 from 15 to get 6.

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

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

$$6x+12=-3\left(2x-4\right)$$

Use the distributive property to multiply -3 by 2x-4.

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

Add 6x to both sides.

$$6x+12+6x=12$$

Combine 6x and 6x to get 12x.

$$12x+12=12$$

Subtract 12 from both sides.

$$12x=12-12$$

Subtract 12 from 12 to get 0.

$$12x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 12 is not equal to 0, x must be equal to 0.

$$x=0$$