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1) ![frac{9}{14}x + 18 = -frac{2}{3}x + 17\
frac{9}{14}x + frac{2}{3}x = 17 - 18\
frac{9*3+2*14}{14*3}x = -1\
55x = -1*42\
x = -frac{42}{55}\](https://tex.z-dn.net/?f=frac%7B9%7D%7B14%7Dx+%2B+18+%3D+-frac%7B2%7D%7B3%7Dx+%2B+17%5C%0Afrac%7B9%7D%7B14%7Dx+%2B+frac%7B2%7D%7B3%7Dx+%3D+17+-+18%5C%0Afrac%7B9%2A3%2B2%2A14%7D%7B14%2A3%7Dx+%3D+-1%5C%0A55x+%3D+-1%2A42%5C%0Ax+%3D+-frac%7B42%7D%7B55%7D%5C%0A%0A "frac{9}{14}x + 18 = -frac{2}{3}x + 17\
frac{9}{14}x + frac{2}{3}x = 17 - 18\
frac{9*3+2*14}{14*3}x = -1\
55x = -1*42\
x = -frac{42}{55}\")
2)
![-frac{8}{15}x-11=frac{4}{9}x+11\
-frac{8}{15}x-frac{4}{9}x=11+11\
-frac{8*3+4*5}{45}x=22\
-frac{44}{45}x=22\
-44x=22*45\
x=-frac{22*45}{44}\
x=-frac{45}{2}=-22frac{1}{2}\](https://tex.z-dn.net/?f=-frac%7B8%7D%7B15%7Dx-11%3Dfrac%7B4%7D%7B9%7Dx%2B11%5C%0A-frac%7B8%7D%7B15%7Dx-frac%7B4%7D%7B9%7Dx%3D11%2B11%5C%0A-frac%7B8%2A3%2B4%2A5%7D%7B45%7Dx%3D22%5C%0A-frac%7B44%7D%7B45%7Dx%3D22%5C%0A-44x%3D22%2A45%5C%0Ax%3D-frac%7B22%2A45%7D%7B44%7D%5C%0Ax%3D-frac%7B45%7D%7B2%7D%3D-22frac%7B1%7D%7B2%7D%5C "-frac{8}{15}x-11=frac{4}{9}x+11\
-frac{8}{15}x-frac{4}{9}x=11+11\
-frac{8*3+4*5}{45}x=22\
-frac{44}{45}x=22\
-44x=22*45\
x=-frac{22*45}{44}\
x=-frac{45}{2}=-22frac{1}{2}\")
2)
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