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Hello, i'm just trying to figure out how x+2=5x/2-(8x-5)/4=  x=-3/2, can someone do it step-by-step for me? thanks

netomario  Aug 16, 2017

Best Answer 

 #1
avatar+17744 
+1

 x + 2  =  5x/2 - (8x - 5)/4

Multiply each side by 4:

4[x + 2]  =  4[5x/2] - 4[ (8x - 5)/4 ]

Using the distributive principle and simplifying fractions:

4x + 8  =  2(5x) - (8x - 5)

4x + 8  =  10x - 8x + 5

4x + 8  =  2x + 5

Subtract 2x from both sides:

2x + 8  =  5

Subtract 8 from both sides:

2x  =  -3

Divide both sides by 2:

x  =  -3/2

geno3141  Aug 16, 2017
 #1
avatar+17744 
+1
Best Answer

 x + 2  =  5x/2 - (8x - 5)/4

Multiply each side by 4:

4[x + 2]  =  4[5x/2] - 4[ (8x - 5)/4 ]

Using the distributive principle and simplifying fractions:

4x + 8  =  2(5x) - (8x - 5)

4x + 8  =  10x - 8x + 5

4x + 8  =  2x + 5

Subtract 2x from both sides:

2x + 8  =  5

Subtract 8 from both sides:

2x  =  -3

Divide both sides by 2:

x  =  -3/2

geno3141  Aug 16, 2017

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