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2x-8\leq 5x+10
Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.
2x-8-5x\leq 10
Subtract 5x from both sides.
-3x-8\leq 10
Combine 2x and -5x to get -3x.
-3x\leq 10+8
Add 8 to both sides.
-3x\leq 18
Add 10 and 8 to get 18.
x\geq \frac{18}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\geq -6
Divide 18 by -3 to get -6.