qrt(2x + 8) - 6 = 4
We have a minus sign. What's the inverse operation to subtraction? Addition. Add 6 to both sides
sqrt(2x + 8) = 10
We have a square root. What's the inverse operation to the square root? Squaring. Square both sides
2x + 8 = 100
We have a plus sign. What's the inverse operation to addition? Subtraction. Subtract 8 from both sides
2x = 92
We're multiplying 2 and x. What's the inverse operation to multiplication? Division. Divide both sides by 2.
x = 92/2
x = [(4 + 6)^2 - 8] / 2
Solution: x = 46