The steps to solve a fraction equation with an x variable would depend on the exact equation, but I will give you an example to try to help you understand.
Example: 6/3=x/8
Step 1) Cross multiply the fractions
Step 2) (6*8)=(3*x)
Step 3) 48=3x
Step 4) Divide both sides by 3.
Step 5) 16=x
Check your answer:
Step 1) Plug in your x answer. 6/3=16/8
Step 2) Cross multiply the fractions
Step 3) (6*8)=(3*16)
Step 4) 48=48 so x=16 is the answer
Example:
1/2(x+4)=8
Step 1) Use the distributive property to multiply (1/2 *x)+(1/2*4)
Step 2) 1/2x + 4/2=8
Step 3) Notice that 4/2 can be simplified down to 2
Step 4) 1/2x+2=8
Step 5) Subtract 2 from both sides
Step 6) 1/2x=6
Step 7) Multiply the fraction by its reciprocal to solve for x
Step 8) (2/1*1/2)x= (6*2/1)
Step 9) x=12
Check:
Step 1) Substitute your x answer in the equation
Step 2) 1/2(x+4)=8
Step 3) 1/2(12+4)=8
Step 4) 1/2(16)=8
Step 5) 16/2=8
Step 6) 8=8 check!
Hope this helps!! :)