Question

0.3(n-5)=0.4-0.2(n-7) solve for n !!!!!!

Answer 1

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