Question

answer of 4x+5/2=x/2 -7

Answer 1

Solve

$4x + \frac{5}{2} = \frac{x}{2} - 7 \\ 4x + \frac{5}{2} = \frac{5}{2} + ^{2} \frac{ (- 7)}{2}$

Combine fractions with common denominator

$4x + \frac{5}{2} = \frac{x}{2} + ^{2} \frac{( - 7)}{2} \\ 4x + \frac{5}{2} = {x} + ^{2} \frac{( - 7)}{2}$

Multiple the numbers

$4x + \frac{5}{2} = {x} + ^{2} \frac{( - 7)}{2} \\ 4x + \frac{5}{2} = \frac{x - 14}{2}$

Subtract 5/2 from both sides of the equation

$4x + \frac{5}{2} = \frac{x - 14}{2} \\ 4x + \frac{5}{2} - \frac{5}{2} = \frac{x - 14}{2} - \frac{5}{2}$

Simplify

1. Subtract the numbers
2. Find common denominator
3. Combine fractions with common denominator
4. Multiple the numbers
5. Subtract the numbers
6. $4x = \frac{x - 19}{2}$