-3/8x + 1/2 =3/8 solve and check the equation

Question

anonymous · Answer

you have some options... you could start by multiplying everything through by 8... that would get rid of the 8's in the denominators.

ny,ny · Answer

or you could subtract by 1/2 on both sides...

anonymous · Answer

that's also a good first step.

vortish · Answer

ok so if i multiplied every thing by 8 we would get 24/8 8/8 or 1 and 24/8 correct

anonymous · Answer

I agree, subtract by 0.5 on both sides, leaves you with -(1/8). Multiply both sides by 8x and that should do it.

hero · Answer

$$-\frac{3x}{8} + \frac{1}{2} =\frac{3}{8}$$
$$ \frac{1}{2} =\frac{3}{8} +\frac{3x}{8}$$
$$ \frac{1}{2} =\frac{3+3x}{8}$$

Cross Multiply:
8 = 2(3 + 3x)
8 = 6 + 6x
8 - 6 = 6x
2 = 6x

2/6 = x
1/3 = x

vortish · Answer

im not looking for the answer just the steps to come up with the answer
3/8= 3/8 - 1/2

hero · Answer

I provided steps

vortish · Answer

hero that makes sense thanks for all the help all of you guys are great wish I understood this stuff better