Question

resuelve para x. -5x - 47 = 7(x - 5) reduce la respuesta al máximo.

Explanation:

Step1: Expand the right - hand side

Expand \(7(x - 5)\) using the distributive property \(a(b - c)=ab - ac\). So \(7(x - 5)=7x-35\). The equation becomes \(-5x - 47=7x - 35\).

Step2: Move \(x\) terms to one side

Add \(5x\) to both sides of the equation: \(-5x+5x - 47=7x+5x - 35\), which simplifies to \(-47 = 12x-35\).

Step3: Move constant terms to one side

Add 35 to both sides: \(-47 + 35=12x-35 + 35\), resulting in \(-12 = 12x\).

Step4: Solve for \(x\)

Divide both sides by 12: \(\frac{-12}{12}=\frac{12x}{12}\), so \(x=-1\).

Answer:

\(x = - 1\)