Giải phương trình

$$\begin{gathered} a) 3x-2=2x-3 \\ b) 3-4u+24+6u=u+27+3u \\ c) 5-(x-6)=4(3-2x\left) \\ d\right) -6(1,5-2x)=3(-15+2x) \\ e) 0,1-2(0,5t-0,1)=2(t-2,5)-0,7 \\ f) \frac{3}{2}(x-\frac{5}{4})-\frac{5}{8}=x \end{gathered}$$

Giải

$$\begin{gathered} a) 3x-2=2x-3\iff 3x-2x=-3+2\iff x=-1 \\ b) 3-4u+24+6u=u+27+3u\iff 2u+27=4u+27 \\ \iff 2u-4u=27-27\iff -2u=0\iff u=0 \\ c) 5-(x-6)=4(3-2x)\iff 5-x+6=12-8x \\ \iff 8x-x=12-6-5\iff 7x=1\iff x=\frac{1}{7} \\ d) -6(1,5-2x)=3(-15+2x)\iff -9+12x=-45+6x \\ \iff 12x-6x=-45+9\iff 6x=-36\iff x=-6 \\ e) 0,1-2(0,5t-0,1)=2(t-2,5)-0,7 \\ \iff 0,1-t+0,2=2t-5-0,7\iff -t-2t=-5,7-0,3 \\ \iff t=2 \\ f) \frac{3}{2}(x-\frac{5}{4})-\frac{5}{8}=x\iff \frac{3}{2}x-\frac{15}{8}-\frac{5}{8}=x\iff \frac{4.3x}{8}-\frac{20}{8}=\frac{8x}{8} \\ \iff 12x-8x=20\iff x=5 \end{gathered}$$