Question

1/2(4α-3)+3 = 7/2(α-2)

Answer 1

Answer:
`\alpha` =
`(17)/(3)`

Explanation:

1) Expand the equation:

`2\alpha -(3)/(2)+3 =(7)/(2) \alpha-7`

2) Multiply by 2 to get rid of fractions:

`4\alpha -3+6 = 7\alpha -14`

3)Simplify the equation:

`7\alpha -4\alpha =14+3`

`3\alpha =17`

4)Solve:

`\alpha =(17)/(3)`