Let's solve your equation step-by-step.0.2(x+50)−6=0.4(3x+20)Step 1: Simplify both sides of the equation.0.2(x+50)−6=0.4(3x+20)(0.2)(x)+(0.2)(50)+−6=(0.4)(3x)+(0.4)(20)(Distribute)0.2x+10+−6=1.2x+8(0.2x)+(10+−6)=1.2x+8(Combine Like Terms)0.2x+4=1.2x+80.2x+4=1.2x+8Step 2: Subtract 1.2x from both sides.0.2x+4−1.2x=1.2x+8−1.2x−1x+4=8Step 3: Subtract 4 from both sides.−1x+4−4=8−4−1x=4Step 4: Divide both sides by -1.−1x−1=4−1x=−4Answer:x=−4