Question

sabem me resolver essa equação 4(2x-3) = 3(x+2)​

Answer 1

Para resolver este problema, primeiro, isole ax de um lado da equação.

• Propriedade distributiva

$\Rightarrow \displaystyle \mathsf{A(B+C)=AB+AC}}$

$\displaystyle \mathsf{4(2x-3)}}\\\\\\\displaystyle \mathsf{4*2=8}}\\\\\\\displaystyle \mathsf{4*3=12}}\\\\\\\displaystyle \mathsf{8x-12=3x+6}}$

Adicione 12 de ambos os lados.

$\displaystyle \mathsf{8x-12+12=3x+6+12}}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{8x=3x+18}}$

Subtraia 3x de ambos os lados.

$\displaystyle \mathsf{8x-3x=3x+18-3x}}\\\\\\\textbf{Resolver.}}\\\\\\\displaystyle \mathsf{5x=18}}$

Divida por 5 de ambos os lados.

$\displaystyle \mathsf{\frac{5x}{5}=\frac{18}{5}}}\\\\\\\textbf{Resolver.}}\\\\\\\Rightarrow\displaystyle \Large\boxed{\mathsf{x=\frac{18}{5}=3.6 }}$

Portanto, a resposta final é x=18/5=3.6