Answer:
The correct answer is 6.4. Please see below.
Step-by-step explanation:
2(x - 4) = x - x/4
2(x - 4) = 4x/4 - x/4
2(x - 4) = 3x/4
8(x - 4) = 3x
8x - 32 = 3x
8x - 3x = 32
5x = 32
x = 32/5
x = 6.4
Proof replacing x by 6.4
2 (6.4 - 4) = 6.4 - 6.4/4
2 (2.4) = 6.4 - 1.6
4.8 = 4.8
Answer:31/4 = 7.75
Step-by-step explanation:
Let the number be x
the difference of a number and four is doubled. This means 2( x-4)
The result is 1/4 less than the number. This means x-1/4
Equating both, we have
2(x-4)/= x - 1/4= (4x-)/4
2x - 8 = (4x-1)/4
Cross multiply
4(2x-8) = 4x-1
8x -32= 4x-1
8x - 4x = -1+32
4x = 31
x = 31/4
=7.75
Check
2x - 8 = (4x-1)/4
2× 7.75 -8 =( 4×7.75-1)/4
7.5 = 30/4 = 7.5
