Question

6(х -2) + 5(1 - х) = х - 7

Answer 1

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Answer 2

Ответ:

6х-12+5-5х=х-7

х-7=х-7

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Answer 3

To solve the equation 6(x - 2) + 5(1 - x) = x - 7, follow these steps:

Step 1: Distribute the numbers outside the parentheses: 6x - 12 + 5 - 5x = x - 7

Step 2: Combine like terms on both sides of the equation: 6x - 5x + 5 - 12 = x - 7 (6x - 5x) + (5 - 12) = x - 7 x - 7 = x - 7

Step 3: Subtract x from both sides of the equation: x - x - 7 = x - x - 7 0 - 7 = 0 - 7 -7 = -7

Since -7 = -7 is a true statement, this means that the equation has infinitely many solutions. In other words, any value of x will satisfy the equation. The solution set for this equation is all real numbers.