等式左边通分,公分母为12:
左=4(5*x+4)/12+3(x-1)/12
=(20*x+16)/12+(3*x-3)/12
=(23*x+13)/12
等式右边通分,也化成公分母为12的整式,方便左右同时约分:
右=24/12-(5*x-5)/12
=(24-5*x+5)/12
=(29-5*x)/12
左=右,等式两边同时约去公分母12:
得等式:
23*x+13=29-5*x
即:
23*x+5*x=29-13,
化简得:
28*x=16, 左右两边同时约去公约数4
得:
x=4/7
∴4(5x+4)/12+3(x-1)/12=(5x-5)/12
∴20x+16+3x-3=5x-5
∴18x=18,x=1