Answer: x=1/32
Explanation:
5/8x+4=3/8x+12
We move all terms to the left:
5/8x+4-(3/8x+12)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
Domain of the equation: 8x+12)!=0
x∈R
We get rid of parentheses
5/8x-3/8x-12+4=0
We multiply all the terms by the denominator
-12*8x+4*8x+5-3=0
We add all the numbers together, and all the variables
-12*8x+4*8x+2=0
Wy multiply elements
-96x+32x+2=0
We add all the numbers together, and all the variables
-64x+2=0
We move all terms containing x to the left, all other terms to the right
-64x=-2
x=-2/-64
x=1/32