Answer
a) 2 x + 3 = 13 - 5 x
7 x = 13 -3
7 x = 10
[tex]x = \dfrac{10}{7}[/tex]
b) 6 + 4 x = 10 x + 26
6 x = 20
[tex]x = \dfrac{20}{6}[/tex]
[tex]x = \dfrac{10}{3}[/tex]
c) 6 x + 9 = 13/5 - x
[tex]7 x = \dfrac{13}{5} -9[/tex]
[tex]x = \dfrac{-32}{35}[/tex]
d) 0.6 + 0.4 x = x + 2.6
0.6 x = -2
[tex]x = \dfrac{-20}{6}[/tex]
[tex]x = \dfrac{-10}{3}[/tex]
e) 3(2x + 3) = 13/5 -x
6 x + 9 = 13/5 - x
[tex]7 x = \dfrac{13}{5} -9[/tex]
[tex]x = \dfrac{-32}{35}[/tex]
f) 4 x = -10 x + 20
14 x = 20
[tex]x = \dfrac{20}{14}[/tex]
[tex]x = \dfrac{10}{7}[/tex]
g) 15(2x + 3) = 13 - 5x
30 x + 45 = 13 - 5 x
35 x = -32
[tex]x = \dfrac{-32}{35}[/tex]
h)15(2x + 3) + 97 = 110 - 5x
30 x + 45 + 97 = 110 - 5x
35 x = -32
[tex]x = \dfrac{-32}{35}[/tex]
so , the solution of part c, e, g, h is same which is [tex]x = \dfrac{-32}{35}[/tex]
the solution of part a, f is same which is [tex]x = \dfrac{10}{7}[/tex]