Solve 25+10*(12-x)=5*(2x-7)

Simplifying 25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
 
Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7)
 
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
 Solving 145 + -10x = -35 + 10x
 
Solving for variable 'x'.
 
Move all terms containing x to the left, all other terms to the right.
 
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
 Combine like terms: -10x + -10x = -20x 145 + -20x = -35 + 10x + -10x
 
Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35
 Add '-145' to each side of the equation. 145 + -145 + -20x = -35 + -145

Combine like terms: 145 + -145 = 0 0 + -20x = -35 + -145 -20x = -35 + -145

Combine like terms: -35 + -145 = -180 -20x = -180
  Divide each side by '-20'.
x = 9
 Simplifying x = 9.
Hope this helps you ! =')

Do you need with the x value for the minimum? its always between the two intercepts for a parabola