Question

coloquem a conta, plsss 2x/3 - x/6 = 12 - x

Answer 1

Resolução:

$\mathsf{\dfrac{2x}{3}-\dfrac{x}{6}=12-x}\\\\\\\mathsf{6\cdot \left(\dfrac{2x}{3}-\dfrac{x}{6}\right)=6\cdot \left(12-x\right)}\\\\\\\mathsf{\dfrac{6\cdot 2x}{3}-\dfrac{\diagup \! \! \! \! 6\cdot x}{\diagup \! \! \! \! 6}=\left(6\cdot 12\right)-6x}\\\\\mathsf{\left(2\cdot 2x\right)-x=72-6x}\\\\\mathsf{4x-x=72-6x}\\\\\mathsf{3x=72-6x}\\\\\mathsf{3x+6x=72}\\\\\mathsf{9x=72}\\\\\mathsf{x=\dfrac{72}{9}}\\\\\boxed{\mathsf{x=8}}\: \: \checkmark$