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10x-15+1+12x-20<3x+10
Use the distributive property to multiply 5 by 2x-3.
10x-14+12x-20<3x+10
Add -15 and 1 to get -14.
22x-14-20<3x+10
Combine 10x and 12x to get 22x.
22x-34<3x+10
Subtract 20 from -14 to get -34.
22x-34-3x<10
Subtract 3x from both sides.
19x-34<10
Combine 22x and -3x to get 19x.
19x<10+34
Add 34 to both sides.
19x<44
Add 10 and 34 to get 44.
x<\frac{44}{19}
Divide both sides by 19. Since 19 is positive, the inequality direction remains the same.