Question

Favor enviar passo da equação abaixo:

x/2+2x/3=1+x

Answer 1

Resolução:

$\mathsf{\dfrac{x}{2}+\dfrac{2x}{3}=1+x}\\\\\\\mathsf{\dfrac{3\cdot x}{3\cdot 2}+\dfrac{2\cdot 2x}{2\cdot 3}=1+x}\\\\\\\mathsf{\dfrac{3x}{6}+\dfrac{4x}{6}=1+x}\\\\\\\mathsf{\dfrac{3x+4x}{6}=1+x}\\\\\\\mathsf{3x+4x=6\left(1+x\right)}\\\\\\\mathsf{3x+4x=6+6x}\\\\\\\mathsf{7x=6+6x}\\\\\\\mathsf{7x-6x=6}\\\\\\\boxed{\mathsf{x=6}}\: \: \checkmark$