Question

Make x the subject of the formula where x is positive:
2(x-2y) = 6xz+5u

Answer 1

x =
`(5u+4y)/(2-6z)`

Explanation:

2(x - 2y) = 6xz + 5u ← distribute parenthesis on left side

2x - 4y = 6xz + 5u ( add 4y to both sides )

2x = 6xz + 5u + 4y ( subtract 6xz from both sides )

2x - 6xz = 5u + 4y ← factor out x from each term on the left side

x(2 - 6z) = 5u + 4y ← divide both sides by (2 - 6z)

x =
`(5u+4y)/(2-6z)`