Question

Help don't know the answer 1.8(b-5.3)-4.2=5.8(b-2.3)

Answer 1

b= −0.1

Explanation:

Step 1: Simplify both sides of the equation.

1.8(b−5.3)−4.2=5.8(b−2.3)

(1.8)(b)+(1.8)(−5.3)+−4.2=(5.8)(b)+(5.8)(−2.3)(Distribute)

1.8b+−9.54+(−4.2)=5.8b+(−13.34)

(1.8b)+(−9.54+(−4.2))=5.8b−13.34(Combine Like Terms)

1.8b+(−13.74)=5.8b−13.34

1.8b−13.74=5.8b−13.34

Step 2: Subtract 5.8b from both sides.

1.8b−13.74−5.8b=5.8b−13.34−5.8b

−4b−13.74=−13.34

Step 3: Add 13.74 to both sides.

−4b−13.74+13.74=−13.34+13.74

−4b=0.4

Step 4: Divide both sides by -4.

−4b/-4=0.4/-4

b= −0.1