Question

(2x+1)/4-(x-3)/5=x/3+1/2
Passo a passo por favor

Answer 1

Resposta:

$\frac{\left(2x+1\right)}{4}-\frac{\left(x-3\right)}{5}=\frac{x}{3}+\frac{1}{2}\quad :\quad x=\frac{21}{2}\quad \left(\mathrm{Decimal}:\quad x=10.5\right)$

Explicação passo-a-passo:

$\frac{\left(2x+1\right)}{4}-\frac{\left(x-3\right)}{5}=\frac{x}{3}+\frac{1}{2}$

$\frac{2x+1}{4}-\frac{x-3}{5}=\frac{x}{3}+\frac{1}{2}$

$\frac{2x+1}{4}-\frac{x-3}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{2}-\frac{x}{3}$

$\frac{-2x+51}{60}=\frac{1}{2}$

$\frac{60\left(-2x+51\right)}{60}=\frac{1\cdot \:60}{2}$

$-2x+51=30$

$-2x=-21$

$x=\frac{21}{2}$