Solve the following equation for x. 5/8x +4 = 3/8x + 12

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
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Step-by-step explanation: