5(х-0,2)-4(5х-0,3)=1,7-12

Let's solve the equation step-by-step: The equation is: \[ 5(x - 0.2) - 4(5x - 0.3) = 1.7 - 12 \] First, simplify the right side: \[ 1.7 - 12 = -10.3 \] Now, substitute this back into the equation: \[ 5(x - 0.2) - 4(5x - 0.3) = -10.3 \] Next, distribute the terms on the left side: 1. Calculate \( 5(x - 0.2) \): \[ 5x - 5 \cdot 0.2 = 5x - 1 \] 2. Calculate \( -4(5x - 0.3) \): \[ -4 \cdot 5x + 4 \cdot 0.3 = -20x + 1.2 \] Now, substitute these back into the equation: \[ (5x - 1) + (-20x + 1.2) = -10.3 \] Combine like terms: \[ 5x - 20x - 1 + 1.2 = -10.3 \] This simplifies to: \[ -15x + 0.2 = -10.3 \] Now, subtract 0.2 from both sides: \[ -15x = -10.3 - 0.2 \] \[ -15x = -10.5 \] Now, divide both sides by -15: \[ x = \frac{-10.5}{-15} \] This gives: \[ x = \frac{10.5}{15} = \frac{7}{10} = 0.7 \] So the solution to the equation is: \[ x = 0.7 \]