Can you please help me with this math problem?

Question

i know what to do

first distribute if needed

then combine like terms

do the opposite operation

but then i get lost

please help

1.) 5/6x-2 = -61/14+4/7x

2.) -7+2x = 5/7x - 139/7

3.) 4x+6 = 146/7 + 2/7x

Answer 1

Get the x values on one side, and the constants on the other

1)

5/6x - 2 = -61/14 + 4/7x

Subtract 4/7x from each side

5/6x - 4/7x - 2 = -61/14

Add 2 to each side

5/6x - 4/7x  = -61/14 + 2

Now, you need to combine the fractions

5/6x * 7/7 - 4/7x * 6/6 = -61/14 + 2*14/14

35/42x - 24/42x = -61/14 + 28/14

11/42 x = 33/14

Now divide each side by 11/42

x = (33/14) / (11/42)

x = 33/14 * 42/11

x = 9

The others are solved in similar ways....