Let's solve your equation step-by-step.
0.3(n−5)=0.4−0.2(n−7)
Step 1: Simplify both sides of the equation.
0.3(n−5)=0.4−0.2(n−7)
(0.3)(n)+(0.3)(−5)=0.4+(−0.2)(n)+(−0.2)(−7)(Distribute)
0.3n+−1.5=0.4+−0.2n+1.4
0.3n−1.5=(−0.2n)+(0.4+1.4)(Combine Like Terms)
0.3n−1.5=−0.2n+1.8
0.3n−1.5=−0.2n+1.8
Step 2: Add 0.2n to both sides.
0.3n−1.5+0.2n=−0.2n+1.8+0.2n
0.5n−1.5=1.8
Step 3: Add 1.5 to both sides.
0.5n−1.5+1.5=1.8+1.5
0.5n=3.3
Step 4: Divide both sides by 0.5.
0.5n0.5=3.30.5
n=6.6