2(x-3)-6=0

Simplify each term.

Apply the distributive property.

2x+2⋅-3-6=0

Multiply 2 by -3.

2x-6-6=0

2x-6-6=0

Subtract 6 from -6.

2x-12=0

2x-12=0

Add 12 to both sides of the equation.

2x=12

Divide each term in 2x=12 by 2.

2×2=122

Cancel the common factor of 2.

Cancel the common factor.

2×2=122

Divide x by 1.

x=122

x=122

Divide 12 by 2.

x=6

x=6

Solve for x 2(x-3)-6=0