Question

4x+2=7x-3 solve equation

Answer 1

Answer: 1.6 repeating



Step-by-step explanation:

Subtract 4x from 7x which gives you 2=3x-3. You would subtract 4x because if you subtracted 7x it would be negative and positives are easier to work with. Next you add the opposite of -3 on both sides, which cancels out the 3 and gives you 5=3x. You need x on its own so you divide by 3 on both sides and get x=1.6 repeating.

Answer 2

x =
`(5)/(3)`

Step-by-step explanation:

4x + 2 = 7X - 3 Subtract 4x from both sides

4x - 4x + 2 = 7x - 4x - 3

2 = 3x - 3 Add 3 to both sides

2 + 3 = 3x -3 + 3

5 =3x Divide both sides by 3

`(5)/(3)`

Check

4x + 2 = 7x -3 Substitute 5 for x

4(
`(5)/(3)`) + 2 = 7(
`(5)/(3)`) -3

`(20)/(3)` + 2 =
`(35)/(3)` - 3

`(20)/(3)` +
`(6)/(3)` =
`(35)/(3)` -
`(9)/(3)`

`(26)/(3)` =
`(26)/(3)` Checks

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