Question

5x-2(2x-7)=2(3x-1)+7/2

Answer 1

Isolate the variable by dividing each side by factors that don’t contain the variable.
Exact form:
x= 5/2
Decimal form:
x= 2.5
Mixed number form:
x= 2 1/2

Answer 2

`x = (5)/(2)`

`<strong>alternative</strong> \: <strong>forms</strong><strong>:</strong> \\ \\ * = 2 (1)/(2) \: or \: x = 2.5`

Explanation:

`5x - 2(2x - 7) = 2(3x - 1) + (7)/(2) \\ first \: you \: need \: to \: distribute \\ \\ 5x - 4x - 14 = 6x - 2 + (7)/(2) \\ subtract \: 5x \: to \: 4x \\ \\ x + 14 = 6x - 2 + (7)/(2) \\ subtract \: 6x \: from \: both \: sides \\ \\ - 5x + 14 = - 2 + (7)/(2) \\ add \: - 2 \: to \: (7)/(2) \\ \\ - 5x + 14 = (3)/(2) \\ subtract \: 14 \: from \: both \: sides \\ \\ - 5x = - (25)/(2) \\ divide \: both \: sides \: by \: 5 \\ \\ x = (5)/(2)`