Solve 2x+3(x-3)=6(2x-3(x-5))

$$2x+3(x-3)=6(2x-3(x-5))$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$2x+3x-9=6\left(2x-3\left(x-5\right)\right)$$

Combine 2x and 3x to get 5x.

$$5x-9=6\left(2x-3\left(x-5\right)\right)$$

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

$$5x-9=6\left(2x-3x+15\right)$$

Combine 2x and -3x to get -x.

$$5x-9=6\left(-x+15\right)$$

Use the distributive property to multiply 6 by -x+15.

$$5x-9=-6x+90$$

Add 6x to both sides.

$$5x-9+6x=90$$

Combine 5x and 6x to get 11x.

$$11x-9=90$$

Add 9 to both sides.

$$11x=90+9$$

Add 90 and 9 to get 99.

$$11x=99$$

Divide both sides by 11.

$$x=\frac{99}{11}$$

Divide 99 by 11 to get 9.

$$x=9$$