Solve the linear equation containing a fraction

What is the solution to the equation?

3x + (4/5) = 7 - 2x

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Multiply entire equation by least common denominator, 5, to eliminate fraction.

5[3x + (4/5) = 7 - 2x]   {multiplied entire equation by 5}
15x + 4 = 35 - 10x   {multiplied.......and no more fraction!}
25x = 31   {added 10x and subtracted 4 from each side}
x = 31/25   {divided each side by 25}

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