Solve for x
x\leq -\frac{1}{3}
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-2\left(3x-1\right)+3\left(x+1\right)\geq 6
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
-6x+2+3\left(x+1\right)\geq 6
Use the distributive property to multiply -2 by 3x-1.
-6x+2+3x+3\geq 6
Use the distributive property to multiply 3 by x+1.
-3x+2+3\geq 6
Combine -6x and 3x to get -3x.
-3x+5\geq 6
Add 2 and 3 to get 5.
-3x\geq 6-5
Subtract 5 from both sides.
-3x\geq 1
Subtract 5 from 6 to get 1.
x\leq -\frac{1}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
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