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)
