$a)4x-3=3x+5\mid -3x$  

$x-3=5\mid +3$

$x=8$

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$b)5x+2=7-3x\mid +3x$  

$8x+2=7\mid -2$

$8x=5\mid :8$

$x=\frac{5}{8}$

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$c)3\left(x-1\right)=0\mid :3$  

$x-1=0\mid +1$

  $x=1$  

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$d)-6\left(x+1\right)=24\left|\right|:\left(-6\right)$

$x+1=-4\mid -1$

$x=-5$

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$e)-7\left(x-2\right)=3x-1$

$-7x+14=3x-1\mid +7x$  

$14=10x-1\mid +1$

$10x=15:10$

$x=\frac{15}{10}$  

$x=1\frac{1}{2}$  

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$f)4\left(x-1\right)=6\left(1+x\right)\mid :2$  

$2\left(x-1\right)=3\left(1+x\right)$  

$2x-2=3+3x\mid -2x$  

$-2=3+x\mid -3$

$x=-5$