Answer:
x = 16
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
1/4x+8=3/8x+6
Move +8 to the other side. Sign changes from +8 to -8.
1/4x+8-8=3/8x+6-8
1/4x=3/8x-2
Move 3/8x to the other side.
1/4x-3/8x=3/8x-3/8x-2
1/4x-3/8x=-2
Find the common denominator for 1/4x which is 8.
Multiply by 2 for 1/4x. 1(2)=2/4, 4x(2)=8x
2/8x-3/8x=-2
-1/8x=-2
Multiply both sides by -8/1 to get +x
-1/8x(-8/1)=-2(-8/1)
Answer: 16