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6x+4\leq 5-2x
Use the distributive property to multiply 2 by 3x+2.
6x+4+2x\leq 5
Add 2x to both sides.
8x+4\leq 5
Combine 6x and 2x to get 8x.
8x\leq 5-4
Subtract 4 from both sides.
8x\leq 1
Subtract 4 from 5 to get 1.
x\leq \frac{1}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.