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8x-4\leq 6x+11
Use the distributive property to multiply 2 by 4x-2.
8x-4-6x\leq 11
Subtract 6x from both sides.
2x-4\leq 11
Combine 8x and -6x to get 2x.
2x\leq 11+4
Add 4 to both sides.
2x\leq 15
Add 11 and 4 to get 15.
x\leq \frac{15}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.