Question

Solve for X and show your work and explain please

Answer 1

Answer: x = 45

Explanation:

Given

(2/3)x + 4 = (4/5)x - 2

Add 2 on both sides

(2/3)x + 4 + 2 = (4/5)x - 2 + 2

(2/3)x + 6 = (4/5)x

Subtract (2/3)x on both sides

(2/3)x + 6 - (2/3)x = (4/5)x - (2/3)x

6 = (12/15)x - (10/15)x

6 = (2/15)x

Divide 2/15 on both sides

6 / (2/15) = (2/15)x / (2/15)

`\boxed{x=45}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

x = 45

Explanation:

2/3 x + 4 = 4/5x - 2 Add 2 to both sides

2/3 x + 4 + 2 = 4/5x Combine

2/3x + 6 = 4/5x Subtract 2/3 x from both sides.

6 = 4/5x - 2/3 x Multiply both sides by 15

6*15 = 4/5 x * 15 - 2/3x * 15

6*15 = 12x - 10x Combine the left and right

90 = 2x Divide by 2

x = 45

Let's see if it works.

LHS = 2/3 * 45 + 4

LHS = 2*15 + 4

LHS = 30 + 4

LHS = 34

RHS

Right hand side = 4/5 * 45 - 2

RHS = 36 - 2

RHS = 34 which is the same as the LHS