$$ \frac { 5x-8 }{ 5 }=\frac { 5x-7 }{ 2 }+\frac { 2 }{ 5 } $$
$$ \frac { 5x-8 }{ 5 }-\frac { 5x-7 }{ 2 }=\frac { 2 }{ 5 } $$
$$ \frac { 2(5x-8)-5(5x-7) }{ 10 }=\frac { 2 }{ 5 } $$
$$ 2(5x-8)-5(5x-7)=4 $$
$$ -15x+19 = 4 $$
$$ -15x = -15 $$
$$ x = 1 $$