Question 665419
Starting with
{{{3/4}}}(5x+2) = 9 + {{{5/3}}}x
...
Distribute the {{{3/4}}}
{{{(3/4)(5x) + (3/4)(2) = 9 + (5x)/3)}}}
{{{(15x)/4 + 6/4 = 9 + (5x)/3}}}
Multiply both sides by 12
{{{((15x)/(4))(12) + (6/4)(12) = 9(12) + (5x/3)(12))}}}
45x + 18 = 108 + 20x
Combine like terms
45x - 20x = 108 - 18
25x = 90
x = {{{90/25}}} = {{{18/5}}} = 3 {{{3/5}}} = 3.6
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