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
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
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