First, expand the terms in parenthesis on the right side of the equation by multiplying each term in parenthesis by the term outside the parenthesis:
7x + 29 = color(red)(4)(x + 8)
7x + 29 = (color(red)(4) xx x) + (color(red)(4) xx 8)
7x + 29 = 4x + 32
Next, subtract color(red)(29) and color(blue)(4x) from each side of the equation to isolate the x term while keeping the equation balanced:
-color(blue)(4x) + 7x + 29- color(red)(29) = -color(blue)(4x) + 4x + 32 - color(red)(29)
(-color(blue)(4) + 7)x + 0 = 0 + 3
3x = 3
Now, divide each side of the equation by color(red)(3) to solve for x while keeping the equation balanced:
(3x)/color(red)(3) = 3/color(red)(3)
(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) = 1
x = 1