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

#1**+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**+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