Question

What is the value of x in the equation 2(x-3)=4(x-4)?

Answer 1

The value of x is 5

Explanation:

Let us simplify each side at first

∵ 2(x - 3) = 4(x - 4)

∴ 2(x) - 2(3) = 4(x) - 4(4)

∴ 2x - 6 = 4x - 16

→ Subtract 4x from both sides

∴ 2x - 4x - 6 = 4x - 4x - 16

∴ -2x - 6 = -16

→ Add 6 to both sides

∴ -2x - 6 + 6 = -16 + 6

∴ -2x = -10

→ Divide both sides by -2

∴
`(-2x)/(-2)=(-10)/(-2)`

∴ x = 5

∴ The value of x is 5