Solve for x
x=0
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6=2\left(x+3\right)-3x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6=2x+6-3x
Use the distributive property to multiply 2 by x+3.
6=-x+6
Combine 2x and -3x to get -x.
-x+6=6
Swap sides so that all variable terms are on the left hand side.
-x=6-6
Subtract 6 from both sides.
-x=0
Subtract 6 from 6 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.
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