-8(8 - x) = 4/5(x + 10)

Answer:x = 10Step-by-step explanation:Solve for x: -8 (8 - x) = (4 (x + 10))/5 Multiply both sides by 5: -8×5 (8 - x) = (5×4 (x + 10))/5 (5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10): -8×5 (8 - x) = 4 (x + 10) 5 (-8) = -40: -40 (8 - x) = 4 (x + 10) Expand out terms of the left hand side: 40 x - 320 = 4 (x + 10) Expand out terms of the right hand side: 40 x - 320 = 4 x + 40 Subtract 4 x from both sides: (40 x - 4 x) - 320 = (4 x - 4 x) + 40 40 x - 4 x = 36 x: 36 x - 320 = (4 x - 4 x) + 40 4 x - 4 x = 0: 36 x - 320 = 40 Add 320 to both sides: 36 x + (320 - 320) = 320 + 40 320 - 320 = 0: 36 x = 40 + 320 40 + 320 = 360: 36 x = 360 Divide both sides of 36 x = 360 by 36: (36 x)/36 = 360/36 36/36 = 1: x = 360/36 The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10: Answer:  x = 10