a: =>3(3x-7)+2(x+1)=-96
=>9x-21+2x+2=-96
=>11x-19=-96
=>11x=-96+19=-75
=>x=-75/11
b: \(x-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\)
=>15x-5(x+1)=3(2x+1)
=>15x-5x-5=6x+3
=>10x-5=6x+3
=>4x=8
=>x=2
a)
\(\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\)
\(< =>9x-21+2x+2=-96\)
\(< =>9x+2x=-96+21-2\\ < =>11x=-77\\ < =>x=-7\)
b)
\(\dfrac{x-x+1}{3}=\dfrac{2x+1}{5}\\ < =>5=6x+3\\ < =>6x=5-3\\ < =>6x=2\\ < =>x=\dfrac{1}{3}\)
\(a,\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\\ \Rightarrow3\left(3x-7\right)+2\left(x+1\right)=2.3.\left(-16\right)\\ \Rightarrow9x-21+2x+2=-96\\ \Rightarrow11x-19=-96\\ \Rightarrow11x=-77\\ \Rightarrow x=-7\\ b,x-\dfrac{x+1}{3}=\dfrac{2x+1}{5}\\ \Rightarrow15x-5.\left(x+1\right)=3.\left(2x+1\right)\\\Rightarrow 15x-5x-5=6x+3\\ \Rightarrow10x-6x=3+5\\ \Rightarrow4x=8\\ \Rightarrow x=2\)
`a) 3x -7/2 +x+1/3 =-16`
`<=> 3x +x = -16 -1/3 +7/2`
`<=> 4x = -77/6`
`<=> x = -77/24`
`b) x-x +1/3 = 2x+1/5`
`<=> x-x -2x = 1/5 -1/3`
`<=> -2x = -2/15`
`<=> x=1/15`
\(a,\dfrac{3x-7}{2}+\dfrac{x+1}{3}=-16\)
\(\Rightarrow\dfrac{3x-7}{2}+\dfrac{x+1}{3}+16=0\)
\(\Rightarrow3\left(3x-7\right)+2\left(x+1\right)+16.6=0\)
\(\Rightarrow9x-21+2x+2+96=0\)
\(\Rightarrow11x=-77\)
\(\Rightarrow x=-7\)
\(b,\dfrac{x-x+1}{3}=\dfrac{2x+1}{5}\)
\(\Rightarrow\dfrac{5\left(x-x+1\right)-3\left(2x+1\right)}{15}=0\)
\(\Rightarrow5x-5x+5-6x-3=0\)
\(\Rightarrow-6x=-2\)
\(\Rightarrow x=3\)
