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10x+2\leq 15-3x
Use the distributive property to multiply 2 by 5x+1.
10x+2+3x\leq 15
Add 3x to both sides.
13x+2\leq 15
Combine 10x and 3x to get 13x.
13x\leq 15-2
Subtract 2 from both sides.
13x\leq 13
Subtract 2 from 15 to get 13.
x\leq \frac{13}{13}
Divide both sides by 13. Since 13 is positive, the inequality direction remains the same.
x\leq 1
Divide 13 by 13 to get 1.