Question

Maths find x in this equation

Answer 1

x =
`(4b)/(2+a-b)`

Explanation:

x(2 + a) = b(x + 4) ← distribute parenthesis on both sides )

2x + ax = bx + 4b ( subtract bx from both sides )

2x + ax - bx = 4b ← factor out x from each term on the left side

x(2 + a - b) = 4b ← divide both sides by (2 + a - b)

x =
`(4b)/(2+a-b)`

Answer 2

x = 4b / (2 + a - b)

Explanation:

Given :

• x (2 + a) = b(x + 4)

Distribute the terms on both sides :

• x(2) + x(a) = b(x) + b(4)
• 2x + ax = bx + 4b

Bring the x terms to one side :

• 2x + ax - bx = bx + 4b - bx
• 2x + ax - bx = 4b

Take x as a common factor on the left side :

• x (2 + a - b) = 4b

Divide both sides by (2 + a - b) :

• x (2 + a - b) / (2 + a - b) = 4b / (2 + a - b)
• x = 4b / (2 + a - b)