\(\frac{12+x}{43-x}=\frac{2}{3}\)\(\Rightarrow3\left(12+x\right)=2\left(43-x\right)\)
\(\Rightarrow36+3x=86-2x\)
\(\Rightarrow36+3x-86+2x=0\)
\(\Rightarrow5x=50\)
\(\Rightarrow x=10\)
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\(\frac{12+x}{43-x}=\frac{2}{3}\)
\(\frac{\left(12+x\right)\times3}{\left(43-x\right)\times3}=\frac{2\times\left(43-x\right)}{3\times\left(43-x\right)}\)
\(\left(12+x\right)\times3=2\times\left(43-x\right)\)
\(36+x\times3=86-2\times x\)
\(x\times3+2\times x=86-36\)
\(x\times5=50\)
\(x=50\div5\)
\(x=10\)
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