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5x-3+3x\leq 7
Add 3x to both sides.
8x-3\leq 7
Combine 5x and 3x to get 8x.
8x\leq 7+3
Add 3 to both sides.
8x\leq 10
Add 7 and 3 to get 10.
x\leq \frac{10}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x\leq \frac{5}{4}
Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.