Question

2(x - 3) + 5x < 9x - 14 how do you solve this

Answer 1

Answer:

x=4

Step-by-step explanation:

First you would distribute the 2 to get

2x-6+5x<9x-14

then you would combine like terms to get 7x

7x-6<9x-14

Third you would take the 7x across to the 9x making 2x (because you change the sign when moving across the =) so

-6<2x-14

Then bring the -14 across to the -6 making it 8

8=2x

then divide both sides by 2

Answer 2

Answer:

x>4

Step-by-step explanation:

Use the distributive property to multiply 2 by x−3.

2x−6+5x<9x−14

Combine 2x and 5x to get 7x.

7x−6<9x−14

Subtract 9x from both sides.

7x−6−9x<−14

Combine 7x and −9x to get −2x.

−2x−6<−14

Add 6 to both sides.

−2x<−14+6

Add −14 and 6 to get −8.

−2x<−8

Divide both sides by −2. Since −2 is <0, the inequality direction is changed.

x>-8/-2

Divide −8 by −2 to get 4.

x>4

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