Question

(x-5) - (1 - 2x) = (3-x)
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Answer 1

Resposta:

$\sf \dfrac{(x- 5)}{10} - \dfrac{(1 -2x)}{5} = \dfrac{(3- x)}{4} \quad \gets \text{\sf o m.m.d de {4;5;10} = 20 }$

$\sf \dfrac{2 \cdot (x- 5)}{20} - \dfrac{4 \cdot (1 -2x)}{20} = \dfrac{5 \cdot (3- x)}{20} \quad \gets \text{\sf Cancelar o denominador. }$

$\sf 5 \cdot (x -5) -4 \cdot (1 - 2x ) = 5 \cdot (3 -x) \quad \gets \text{\sf Usar propriedade distributiva. }$

$\sf 5x - 25 - 4 +8x = 15 - 15x$

$\sf 5x + 8x +15x = 15 + 25 + 4$

$\sf 28x = 44$

$\sf x = \dfrac{44}{28}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle x = \dfrac{11}{7} }}} \quad \gets \mathbf{ Resposta }$

Explicação passo-a-passo: