Question

2x+1 over 3=x+6 over 2 Solve for x

Answer 1

step 1: cross multiply
Have you heard of that before?

Answer 2

with the denominator?

Answer 3

first multiply both sides by 2, then multiply both sides by 3 so
\[\frac{ 2x+1 }{ 3 } = \frac{ x+6 }{ 2 } \rightarrow \frac{ 2(2x+1) }{ 3 }= x+6 \rightarrow 2(2x+1) = 3(x+6)\] then distribute so
2(2x+1) = 3(x+6)
2(2x)+2(1) = 3(x)+3(6) then simplify
4x + 2 = 3x + 18 then subtract 2 from both sides
-2 -2
4x + 0 = 3x + 16 then subtract 3x from both sides
-3x -3x
which will give you your answer