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## help me solve the following for x 3x=7-5x

hello I am having problems solving these problems "

when 4 added to one half the number x, the result is the same as if 2 had been subtracted from the number x. I need to find which of the following expresses this relationship

• X + 4 = x -2
• 1/2X = 4 = 2-x
• 1/2X + 4 = x-2 I feel this is the answer not sure can you help me
• 1/2X = 4 1/2X -2

For the original problem of 3x = 7 - 5x:

First, get all the x's together, by adding or subtracting the same term from both sides of the equation, to keep it balanced:  Let's add 5x to both sides:  3x + 5x = 7 - 5x + 5x

Do the addition:  8x = 7

Now get x by itself:  divide both sides of the equation by 8:  8x/8 = 7/8.  Now x = 7/8

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"When 4 added to one half the number x..."   one half x = x/2, or (1/2)x.  Now add 4:  (1/2)x + 4

"...result is the same as..." means equals (=)

"2 had been subtracted from the number x":   x - 2

So you are CORRECT:  (1/2)x + 4 = x - 2

Janice -

You are correct.

Let's break it down.

When 4                   4

one half                 1/2

(of) x                     x

the result is the same as      =

two subtracted from       -2

the number x           x

Putting that all together, we get

4 + 1/2 (x) = -2 + x.

Rearranging using the commutative property,

1/2 (x) + 4 =   x - 2