find the solution set: 14(x - 1) = -7(2 - x) + 7x\nthe solution set is\n(type in an answer, or type in all…

find the solution set: 14(x - 1) = -7(2 - x) + 7x\nthe solution set is\n(type in an answer, or type in all real numbers, or type in empty set)

find the solution set: 14(x - 1) = -7(2 - x) + 7x\nthe solution set is\n(type in an answer, or type in all real numbers, or type in empty set)

Answer

Explanation:

Step1: Expand both sides

$$ \begin{align*} 14(x - 1)&=-7(2 - x)+7x\ 14x-14&=-14 + 7x+7x \end{align*} $$

Step2: Simplify the right - hand side

The right - hand side $-14 + 7x+7x=-14 + 14x$ So the equation becomes $14x-14=-14 + 14x$

Step3: Subtract (14x) from both sides

$$ \begin{align*} 14x-14-14x&=-14 + 14x-14x\ -14&=-14 \end{align*} $$

Since the equation (-14=-14) is always true for any value of (x)

Answer:

all real numbers