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
First, expand the term in parenthesis on the right side of the equation:
y - 10 = (-2 xx x) + (2 xx 3)
y - 10 = -2x + 6
Next add color(red)(2x) and color(blue)(10) to each side of the equation to isolate the x and y term on the left side of the equation and the constants on the other wide of the equation:
color(red)(2x) + y - 10 + color(blue)(10) = color(red)(2x) - 2x + 6 + color(blue)(10)
2x + y - 0 = 0 + 6 + 10
2x + y = 16
