(3) $$ 5 \cdot(x-1)-(1-x)=2 \cdot(x-1)-4 \cdot(1-x) $$

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Solve the equation $$ 5 \cdot(x-1)-(1-x)=2 \cdot(x-1)-4 \cdot(1-x) $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$5\left(x-1\right)-\left(1-x\right)=2\left(x-1\right)-4\left(1-x\right)$$
- step1: Remove the parentheses:
  $$5\left(x-1\right)-1+x=3\left(2x-2\right)$$
- step2: Calculate:
  $$6x-6=3\left(2x-2\right)$$
- step3: Calculate:
  $$6x-6=6x-6$$
- step4: Move the expression to the left side:
  $$6x-6-\left(6x-6\right)=0$$
- step5: Calculate:
  $$0=0$$
- step6: The statement is true:
  $$x \in \mathbb{R}$$
La solución de la ecuación $$5 \cdot(x-1)-(1-x)=2 \cdot(x-1)-4 \cdot(1-x)$$ es $$x \in \mathbb{R}$$, lo que significa que la solución es cualquier número real.
La solución de la ecuación es cualquier número real.

(3) \( 5 \cdot(x-1)-(1-x)=2 \cdot(x-1)-4 \cdot(1-x) \)

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