Solve for x
x=0
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6\left(1-x\right)-4x=3\left(x+2\right)
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6-6x-4x=3\left(x+2\right)
Use the distributive property to multiply 6 by 1-x.
6-10x=3\left(x+2\right)
Combine -6x and -4x to get -10x.
6-10x=3x+6
Use the distributive property to multiply 3 by x+2.
6-10x-3x=6
Subtract 3x from both sides.
6-13x=6
Combine -10x and -3x to get -13x.
-13x=6-6
Subtract 6 from both sides.
-13x=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 -13 is not equal to 0, x must be equal to 0.
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