Web Analytics
Answered

NEED HELP PLEASE HELP AS FAST AS YOU CAN!!!!! MATH:(

1.Describe each step in solving equations with variables on both sides. Please do not just list the steps, but describe each.


2.Solve, showing all steps:

5(x – 3) – 2(2x + 4) = -2(x – 2)


3.Solve, showing all steps:

3(4x – 5) – 2(2x – 2) = 4(3x – 2) + 5

Verified Answer :

xman7373

In any equation with variables, you want to end with a variable isolated on one side with no coefficients(like x=4, for instance).

So, with that in mind, let's solve number 2.

5(x-3) - 2(2x+4) = -2(x-2)
Let's distribute the coefficients.
(5x-15)-(4x+8) = (-2x+4)
Simplify the left side first (by subtracting the two)
5x-4x = x
-15 - (+)8 = -23
So, left side is
x-23 = -2x+4
We're close now, just bring the x to the left side and the other values to the right
x-23 = -2x+4
+23     +23
x=-2x+27
+2x +2x
3x=27
divide by 3
x=9

3.
3(4x-5)-2(2x-2)=4(3x-2)+5
Same idea here; distribute the coefficients, and simplify.
(12x-15)-(4x-4)=(12x-8)+5
12x-4x=8x
-15-(-)4=-11
-8+5=-3
8x-11=12x-3
bring x to left, other numbers to right
-12x    -12x
+11      +11
-4x = 8
divide by -4
x=-2

Related Questions