[tex] \sf \: \frac{x + 10}{4} + \frac{x + 3}{3} = \frac{x + 4}{2} \\ [/tex]
[tex] \sf \: \implies\frac{x + 10}{4} + \frac{x + 3}{3} - \frac{x + 4}{2} = 0 \\ [/tex]
[tex] \sf \: \implies\frac{3(x + 10) + 4(x + 3) - 6(x + 4)}{12} = 0\\ [/tex]
[tex] \sf \: \implies\frac{3x + 30+ 4x + 12 - 6x - 24}{12} = 0\\ [/tex]
[tex] \sf \: \implies x +18 = 0\\ [/tex]
[tex] \boxed{ \sf \implies x = - 18 \\ }[/tex]
[tex]\Large\color{lime}\boxed{\colorbox{black}{AnSweR :-}}[/tex]
[tex] \large \sf{ \frac{x + 10}{4} + \frac{x + 3}{3} = \frac{x + 4}{2} }\\[/tex]
[tex] \large \sf{↣ \frac{x + 10}{4} + \frac{x + 3}{3} - \frac{x + 4}{2} = 0}\\[/tex]
[tex] \large \sf{↣ \frac{3(x + 10) + 4(x + 3) - 6(x + 4)}{12} = 0}\\[/tex]
[tex] \large \sf{↣ \frac{3x + 30 + 4x + 12 - 6x - 24}{12} = 0}\\[/tex]
[tex] \large \sf{↣x + 18 = 0}\\[/tex]
[tex] \large \orange{ \boxed{ \sf{↣x = - 18}}}[/tex]
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SOLUTION
[tex] \sf \: \frac{x + 10}{4} + \frac{x + 3}{3} = \frac{x + 4}{2} \\ [/tex]
[tex] \sf \: \implies\frac{x + 10}{4} + \frac{x + 3}{3} - \frac{x + 4}{2} = 0 \\ [/tex]
[tex] \sf \: \implies\frac{3(x + 10) + 4(x + 3) - 6(x + 4)}{12} = 0\\ [/tex]
[tex] \sf \: \implies\frac{3x + 30+ 4x + 12 - 6x - 24}{12} = 0\\ [/tex]
[tex] \sf \: \implies x +18 = 0\\ [/tex]
[tex] \boxed{ \sf \implies x = - 18 \\ }[/tex]
Verified answer
[tex]\Large\color{lime}\boxed{\colorbox{black}{AnSweR :-}}[/tex]
[tex] \large \sf{ \frac{x + 10}{4} + \frac{x + 3}{3} = \frac{x + 4}{2} }\\[/tex]
[tex] \large \sf{↣ \frac{x + 10}{4} + \frac{x + 3}{3} - \frac{x + 4}{2} = 0}\\[/tex]
[tex] \large \sf{↣ \frac{3(x + 10) + 4(x + 3) - 6(x + 4)}{12} = 0}\\[/tex]
[tex] \large \sf{↣ \frac{3x + 30 + 4x + 12 - 6x - 24}{12} = 0}\\[/tex]
[tex] \large \sf{↣x + 18 = 0}\\[/tex]
[tex] \large \orange{ \boxed{ \sf{↣x = - 18}}}[/tex]