Resposta:

[tex]x = 4 \\ [/tex]

Explicação passo-a-passo:

[tex] \blue{x + 5 = \frac{x}{2} + 7 } \\ \\ x + 5 = \frac{x}{2} + 7 \\ \\2(x + 5) = 2( \frac{x}{2} + 7) \\ \\2x + 2 \times 5 = ( \frac{x}{2} + 7) \\ \\2 \times 5 \\10 \\ 2x + 2 \times 5 = 2( \frac{x}{2} + 7) \\ \\ 2x + 10 = 2( \frac{x}{2} + 7) \\ \\ 2x + 10 = x + 14\\ x + 5 = \frac{x}{2} + 7 \\ \\ 2x + 10 = + 14 \\ 2x + 10 - x = 14 \\2x - x = 14 - 10 \\2x - x \\(2 - 1)x \\x \\ 2x - x = 14 - 10 \\ 14 - 10 \\ 4 \\2x - x = 14 - 10 \\x = 14 - 10 \\x = 4 \\resposta \\x = 4[/tex]