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2 years ago

7 x-3(4 x-8)<6 x+12-9 x

Mathematics

1 answer:

kari74 [83]2 years ago

6 0

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

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