The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#
Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
Therefore, we need to have the constant on the right side of the equation so we can subtract #color(red)(24)# from each side of the equation to achieve this while keeping the equation balanced:
#4x + 24 - color(red)(24) = 0 - color(red)(24)#
#4x + 0 = -24#
#4x = -24#
We can next divide each side of the equation by #color(red)(4)# to eliminate the common factors while keeping the equation balanced:
#(4x)/color(red)(4) = -24/color(red)(4)#
#(color(red)(cancel(color(black)(4)))x)/cancel(color(red)(4)) = -6#
#x = -6#
Because there is no #y# term this indicates it's coefficient is #0#.
We can now write the Standard Form of this linear equation as:
#color(red)(1)x + color(blue)(0)y = color(green)(-6)#
