Math Help #3?

Question

Solve: 0.1p + 2.1 = 4.6p - 1.9 + 0.5p

Answer 1

0.1p+2.1=4.6p-1.9+0.5p

*isolate the p's on one side

2.1+1.9=4.6p-0.1p+0.5p

*simplify both sides

4=5p

*divide both sides by 5 to get p by itself, therefore solving for it

0.8=p

Answer 2

0.1p + 2.1 = 4.6p - 1.9 + 0.5p
move all p's onto one side giving you:
2.1=4.6p-1.9+0.5p-0.1p
4=4.6p+0.5p-0.1p [+1.9 on both sides]
4=5p [add upand take away the p's]
4/5=p [divide by 5 on both sides]

I hope that helped.

Answer 3

Simplifying
0.1p + 2.1 = 4.6p + -1.9 + 0.5p

Reorder the terms:
2.1 + 0.1p = 4.6p + -1.9 + 0.5p

Reorder the terms:
2.1 + 0.1p = -1.9 + 4.6p + 0.5p

Combine like terms: 4.6p + 0.5p = 5.1p
2.1 + 0.1p = -1.9 + 5.1p

Solving
2.1 + 0.1p = -1.9 + 5.1p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-5.1p' to each side of the equation.
2.1 + 0.1p + -5.1p = -1.9 + 5.1p + -5.1p

Combine like terms: 0.1p + -5.1p = -5p
2.1 + -5p = -1.9 + 5.1p + -5.1p

Combine like terms: 5.1p + -5.1p = 0.0
2.1 + -5p = -1.9 + 0.0
2.1 + -5p = -1.9

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -5p = -1.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -5p = -1.9 + -2.1
-5p = -1.9 + -2.1

Combine like terms: -1.9 + -2.1 = -4
-5p = -4

Divide each side by '-5'.
p = 0.8

Simplifying
p = 0.8

Answer 4

0.1p + 2.1 = 4.6p - 1.9 + 0.5p
2.1 + 1.9 = 4.6p + 0.5p - 0.1p
4 = 5p
5p = 4
p = 4/5

Answer 5

0.1p + 2.1 = 4.6p - 1.9 + 0.5

0.1p + 2.1 = 5.1p - 1.9

0.1p + 2.1 - 0.1p = 5.1p - 19 - 0.1p

2.1 = 5p - 1.9

2.1 + 1.9 = 5p - 1.9 + 1.9

4 = 5p

4/5 - 5p/5

4/5 = p

0.8 = p

The answer is p = 0.8

- - - - - - - - - - - - -s-

Answer 6

p = 4/5

Answer 7

0.1p + 2.1 = 4.6p - 1.9 + 0.5p
2.1 = 5p - 1.9
4 = 5p
4/5 = p

Answer 8

<=> (4.6+0.5-0.1)p = 2.1 + 1.9
<=> 5p = 4 <=> p=4/5