First, we can simplify the right side of the equation:
(x + 3)/3 = 14/4
(x + 3)/3 = (2 xx 7)/(2 xx 2)
(x + 3)/3 = (color(red)(cancel(color(black)(2))) xx 7)/(color(red)(cancel(color(black)(2))) xx 2)
(x + 3)/3 = 7/2
Next, we can multiply each side of the equation by color(red)(3) to eliminate the fraction on the left side of the equation while keeping the equation balanced:
color(red)(3)(x + 3)/3 = color(red)(3) xx 7/2
cancel(color(red)(3))(x + 3)/color(red)(cancel(color(black)(3))) = 21/2
x + 3 = 21/2
Now, we can subtract color(red)(3) from each side of the equation to solve for x while keeping the equation balanced:
x + 3 - color(red)(3) = 21/2 - color(red)(3)
x + 0 = 21/2 - (2/2 xx color(red)(3))
x = 21/2 - 6/2
x = (21 - 6)/2
x = 15/2
