5(x+4)+10-2x+3(2x+9)

Answer:x = (-19)/3Step-by-step explanation:Solve for x: 10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0 5 (x + 4) = 5 x + 20: 10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0 3 (2 x + 9) = 6 x + 27: 6 x + 27 + 5 x - 2 x + 10 + 20 = 0 Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27): (-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0 -2 x + 5 x + 6 x = 9 x: 9 x + (10 + 20 + 27) = 0 10 + 20 + 27 = 57: 9 x + 57 = 0 Subtract 57 from both sides: 9 x + (57 - 57) = -57 57 - 57 = 0: 9 x = -57 Divide both sides of 9 x = -57 by 9: (9 x)/9 = (-57)/9 9/9 = 1: x = (-57)/9 The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3: Answer: x = (-19)/3