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5x-2x-\left(-1\right)\leq 8
To find the opposite of 2x-1, find the opposite of each term.
5x-2x+1\leq 8
The opposite of -1 is 1.
3x+1\leq 8
Combine 5x and -2x to get 3x.
3x\leq 8-1
Subtract 1 from both sides.
3x\leq 7
Subtract 1 from 8 to get 7.
x\leq \frac{7}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.