Question

1/2(x-3)=1/2+(x-3)?
Conta e resultado
Por favor

Answer 1

$\frac{1}{2}(x-3) = \frac{1}{2}+(x-3)\\\\ \dfrac{x-3}{2} = \dfrac{1\cdot1 +(x-3)\cdot2 }{2\cdot1},\quad dica:\; \quad \frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d} \\\\ \dfrac{x-3}{2} = \dfrac{1 +(x-3)2 }{2}\\\\ \dfrac{x-3}{2} = \dfrac{1+2x-6 }{2}\\\\ passa\;o\;2\;do\;denominador\;(2\°membro)\\para\;o\;1\°\;membro\;multiplicando \\\\ \not2\cdot\dfrac{x-3}{\not2} = 1+2x-6,\; assim\;podemos\;cancelar\\\\ x-3 = 2x-6 + 1$

$x-3 = 2x-5\\\\ agora,\;reduzimos\;a\;termos\;semelhantes\\\\ x -2x = -5 +3\\ -x = -2\quad:multiplicando\; por\; (-1)\; dos\; dois\; lados\\\\ (-1)(-x) = (-2)(-1)\\\\ \framebox[1.1\width]{\quad x=2\quad}$