Algebra -4.5x + 2.4 = -3.7x - 3.1?

Solution :

-4.5x + 2.4 = -3.7x - 3.1
-4.5x + 3.7x = -3.1 - 2.4
-0.8x = -5.5
x = -5.5/-0.8
x = 6.875 (Answer)

4.5x - 2.4 = 3.7x + 3.1
0.8x = 5.5
x = 5.5 / 0.8
x = 55 / 8

-4.5x + 2.4 = -3.7x - 3.1
Hopefully you know that when you move something from left to right and viceversa the sign changes; move the x-es to the left and the rest to the right:
-4.5x + 3.7x= - 3.1 -2.4
Like 2 apples and 3 apples = 5 apples you add the x-es.
You also know about adding negative values?
-0.8x=-5.5
x = -5.5/-0.8
Multiply by 10 and remove the - sign gives:
x = 55/8

The word "solve" means you have to get +1x all by itself on one side of the = sign.
Do this using +, -, X, /
-4.5x+2.4= -3.7x-3.1
Add 3.7x to both sides
-4.5x+3.7x+2.4 = -3.7x+3.7x-3.1
Gives you
-0.8x+2.4= -3.1
Now subtract 2.4 from both sides
-0.8x+2.4-2.4= -3.1-2.4
Gives you
-0.8x= -5.5
Multiply both sides by -1
0.8x=5.5
Divide both sides by 0.8
x= 5.5/0.8
x=6.875

Collect like terms. Get the x's on the left and everything else on the right.

Add 3.7x to both sides:
-0.8x+2.4= -3.1

Subtract 2.4 from both sides:
-0.8x= -5.5

Divide both sides by -0.8:
x= -5.5/-0.8=55/8 or 6 7/8.

-4.5x + 2.4 = -3.7x - 3.1

2.4 = -3.7x+4.5x-3.1

2.4 + 3.1 = -3.7x+4.5x

5.5 = 0.8x

6.875 = x

http://www.sosmath.com/algebra/solve/solve0/solve0.html

-4.5x + 2.4 = -3.7x - 3.1

add +3.7x to each side to cancel it out on one side

-4.5x + 2.4 = -3.7x - 3.1
+3.7x +3.7x

-0.8x + 2.4 = -3.1
-2.4 -2.4

-0.8x = -5.5
divide both sides by -0.8x

and your answer is

x=6.875

-4,5x + 2,4 = -3,7x - 3,1 |+4,5 x +3,1
5,5 = 0,8x | /0,8
6,875 = x

You just add as if they were normal numbers:

Add 4.5x to each side to cancel the -4.5x on the left and add 3.1 to both sides to cancel the -3.1 on the right. This gives:

5.5=0.8x

So x = 5.5/0.8

-4.5x + 2.4 = -3.7x - 3.1
-4.5x + 3.7x = -2.4 - 3.1
-0.8x = -5.5
x = -5.5/-0.8
x = 5.5/0.8
x = 55/8 (6.875)