Solve 2(x-9)+9=6+3(2x-5)

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-9.

$$2x-18+9=6+3\left(2x-5\right)$$

Add -18 and 9 to get -9.

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

Use the distributive property to multiply 3 by 2x-5.

$$2x-9=6+6x-15$$

Subtract 15 from 6 to get -9.

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

Subtract 6x from both sides.

$$2x-9-6x=-9$$

Combine 2x and -6x to get -4x.

$$-4x-9=-9$$

Add 9 to both sides.

$$-4x=-9+9$$

Add -9 and 9 to get 0.

$$-4x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -4 is not equal to 0, x must be equal to 0.

$$x=0$$