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8x-6\leq 5x-27
Use the distributive property to multiply 2 by 4x-3.
8x-6-5x\leq -27
Subtract 5x from both sides.
3x-6\leq -27
Combine 8x and -5x to get 3x.
3x\leq -27+6
Add 6 to both sides.
3x\leq -21
Add -27 and 6 to get -21.
x\leq \frac{-21}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x\leq -7
Divide -21 by 3 to get -7.