Solve this equation:

85 - (6x+11) = 6 (x+8) + x

85 - (6x+11) = 6 (x+8) + x

Step 1: Simplify both sides of the equation. 85 - (6x + 11) = 6 (x+8) + x 85 + - 1 (6x + 11) = 6 (x+8) + x (Distribute the Negative Sign) 85 + - 1 (6x) + (-1) (11) = 6 (x+8) + x 85 + - 6x + - 11 = 6 (x+8) + x 85 + - 6x + - 11 = (6) (x) + (6) (8) + x (Distribute) 85 + - 6x + - 11 = 6x + 48 + x ( - 6x) + (85 + - 11) = (6x + x) + (48) (Combine Like Terms) - 6x + 74 = 7x + 48 - 6x + 74 = 7x + 48 Step 2: Subtract 7x from both sides. - 6x + 74 - 7x = 7x + 48 - 7x - 13x + 74 = 48 Step 3: Subtract 74 from both sides. - 13x + 74 - 74 = 48-74 - 13x = - 26 Step 4: Divide both sides by - 13. - 13x - 13 = - 26 - 13 x=2 Answer:

x=2

85 - (6x+11) = 6 (x+8) + x

85-6x+11 = 6x+48+x

74-6x = 7x+48

26-6x = 7x

26 = 13x

x=26/13 = 2

x = 2