Solution for 9x-17=4x+28 equation:
Simplifying
9x + -17 = 4x + 28
Reorder the terms:
-17 + 9x = 4x + 28
Reorder the terms:
-17 + 9x = 28 + 4x
Solving
-17 + 9x = 28 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-17 + 9x + -4x = 28 + 4x + -4x
Combine like terms: 9x + -4x = 5x
-17 + 5x = 28 + 4x + -4x
Combine like terms: 4x + -4x = 0
-17 + 5x = 28 + 0
-17 + 5x = 28
Add '17' to each side of the equation.
-17 + 17 + 5x = 28 + 17
Combine like terms: -17 + 17 = 0
0 + 5x = 28 + 17
5x = 28 + 17
Combine like terms: 28 + 17 = 45
5x = 45
Divide each side by '5'.
x = 9
Simplifying
x = 9