Question

Help me! frac{x}{3}+10=\frac{3x-8}{2}" alt="\frac{x}{3}+10=\frac{3x-8}{2}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}$

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Answer 2

Answer:

$x = 12$

Step-by-step explanation:

$\frac{x + 30}{3} = \frac{3x - 8}{2}$

$2x + 60 = 9x - 24$

$60 + 24 = 9x - 2x$

$84 = 7x$

$x = 12$

I hope it will be helpful