Solve for x
x\geq \frac{5}{3}
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3x-2-6x\leq -7
Subtract 6x from both sides.
-3x-2\leq -7
Combine 3x and -6x to get -3x.
-3x\leq -7+2
Add 2 to both sides.
-3x\leq -5
Add -7 and 2 to get -5.
x\geq \frac{-5}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq \frac{5}{3}
Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.
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