Let's solve your inequality step-by-step.
5(2x+1)<12x−3
Step 1: Simplify both sides of the inequality.
10x+5<12x−3
Step 2: Subtract 12x from both sides.
10x+5−12x<12x−3−12x
−2x+5<−3
Step 3: Subtract 5 from both sides.
−2x+5−5<−3−5
−2x<−8
Step 4: Divide both sides by -2.
−2x −2 < −8 −2 x>4
Answer:
x>4
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