Solve for x
x>\frac{4}{7}
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2\left(2x+7\right)>3\left(6-x\right)
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.
4x+14>3\left(6-x\right)
Use the distributive property to multiply 2 by 2x+7.
4x+14>18-3x
Use the distributive property to multiply 3 by 6-x.
4x+14+3x>18
Add 3x to both sides.
7x+14>18
Combine 4x and 3x to get 7x.
7x>18-14
Subtract 14 from both sides.
7x>4
Subtract 14 from 18 to get 4.
x>\frac{4}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
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Limits
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