The solution to the equation "2 over -3 equals the fraction (4x + 4) over (2x + 14)" is x = -5/2. Cross-multiplying and simplifying lead to isolating x, revealing the exact value for x in the given equation.
To solve for x in the equation "2 over -3 equals the fraction (4x + 4) over (2x + 14)", we can follow these steps:
Cross-multiply to eliminate the denominators:
2(2x + 14) = -3(4x + 4)
Simplify both sides of the equation:
4x + 28 = -12x - 12
Combine like terms:
16x = -40
Divide by the coefficient of x to isolate x:
x = -40/16 = -5/2
So, the solution to the equation is x = -5/2.
The question probable may be:
Solve for x :
2/- 3 = (4x + 4)/(2x + 14)