Solve for x
x>\frac{16}{9}
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3x-10>-6x+6
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x-10+6x>6
Add 6x to both sides.
9x-10>6
Combine 3x and 6x to get 9x.
9x>6+10
Add 10 to both sides.
9x>16
Add 6 and 10 to get 16.
x>\frac{16}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
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