Solve. 2 (x - 1/2) = 3 (5 - 2x) show the steps in your solution. malik wants to have at least $30 in his bank account so that he can purchase some songs. when he starts saving, he has $8. he is given $7 by his aunt and earns $10 mowing lawns. at least how much more does he need? a) write an inequality representing this solution. b) solve the inequality and interpret the solution. c) is the solution reasonable? i need both of these questions ! they are two different question and the letter choices are what i need to do in order to solve it. i tried everything and it keeps saying i'm wrong! !

Question 1.). Solve:

2 (x - 1 / 2) = 3 (5 - 2x)

Simplify both sides of equation:

2( x - 1 / 2 ) = 3(5 - 2x )

(2) (x) + (2) ( -1 / 2 ) = (3) (5) + (3) ( -2x )

Distribute:

2x + - 1 = 15 + -6x

2x - 1 = -6x + 15

Add 6x to both sides:

2x - 1 + 6x = -6x + 15 + 6x

8x - 1 = 15

Add 1 to both sides:

8x - 1 + 1 = 15 + 1

8x = 16

Divide both sides by 8:

8x / 8 = 16 / 8

2 (x - 1 / 2) = 3 (5 - 2x) > x = 2

Question 2.).

M > Amount Malik need

Solution: > m ≥ 5

Inequality > 8 + 7 + 10 + m ≥ 30

25 + m ≥ 30

Interpretation > Malik needs at least, $5 .00 to get to, $30.00 or more.

Is the solution reasonable > YES

Hope that helps : )

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

b. hoped i'm right lol

step-by-step explanation: