Solve for x
x\geq 2
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2x+5\leq 12x-15
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
2x+5-12x\leq -15
Subtract 12x from both sides.
-10x+5\leq -15
Combine 2x and -12x to get -10x.
-10x\leq -15-5
Subtract 5 from both sides.
-10x\leq -20
Subtract 5 from -15 to get -20.
x\geq \frac{-20}{-10}
Divide both sides by -10. Since -10 is negative, the inequality direction is changed.
x\geq 2
Divide -20 by -10 to get 2.
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