5х(12х-7) -4х(15х-11) =30+29х

Let's solve the equation step by step: Given equation: \[ 5x(12x - 7) - 4x(15x - 11) = 30 + 29x \] First, expand both sides of the equation. 1. Expand the left side: \[ 5x(12x - 7) = 60x^2 - 35x \] \[ -4x(15x - 11) = -60x^2 + 44x \] Now combine these: \[ 60x^2 - 35x - 60x^2 + 44x = (60x^2 - 60x^2) + (-35x + 44x) = 0 + 9x \] So, the left side simplifies to: \[ 9x \] The equation now looks like this: \[ 9x = 30 + 29x \] 2. Now, isolate \(x\): Subtract \(29x\) from both sides: \[ 9x - 29x = 30 \] \[ -20x = 30 \] 3. Divide both sides by -20: \[ x = \frac{30}{-20} = -\frac{3}{2} \] Thus, the solution to the equation is: \[ \boxed{-\frac{3}{2}} \]