Solve for x
x\geq -\frac{74}{3}
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11\left(3x+2\right)-8\left(3x-3\right)\geq -176
Multiply both sides of the equation by 88, the least common multiple of 8,11. Since 88 is positive, the inequality direction remains the same.
33x+22-8\left(3x-3\right)\geq -176
Use the distributive property to multiply 11 by 3x+2.
33x+22-24x+24\geq -176
Use the distributive property to multiply -8 by 3x-3.
9x+22+24\geq -176
Combine 33x and -24x to get 9x.
9x+46\geq -176
Add 22 and 24 to get 46.
9x\geq -176-46
Subtract 46 from both sides.
9x\geq -222
Subtract 46 from -176 to get -222.
x\geq \frac{-222}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x\geq -\frac{74}{3}
Reduce the fraction \frac{-222}{9} to lowest terms by extracting and canceling out 3.
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