[tex] {5}^{4} \div {5}^{2} + 5 \times ( {55}^{1} - x \div 5) = {5}^{3} \\ [/tex]
[tex] {5}^{4 - 2} + 5 \times (55 - x \div 5) = {5}^{3} [/tex]
[tex] {5}^{2} + 5 \times (55 - x \div 5) = 125[/tex]
[tex]25 + 5 \times (55 - x \div 5) = 125[/tex]
[tex]5 \times (55 - x \div 5) = 125 - 25[/tex]
[tex]5 \times (55 - x \div 5) = 100[/tex]
[tex]55 - x \div 5 = 100 \div 5[/tex]
[tex]55 - x \div 5 = 20[/tex]
[tex] - x \div 5 = 20 - 55[/tex]
[tex] - x \div 5 = - 35[/tex]
[tex] - x = - 35 \times 5[/tex]
[tex] - x = - 175 \: \: \: | \times ( - 1)[/tex]
[tex]x = 175[/tex]
