Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1436376
А
Аноним
09 сентября 2024 09:43 · публичный вопрос
А
Аноним

4х+5-(6х+7)=15

Ответ нейросети
09 сентября 2024 09:43

Let's solve the equation step by step.

The equation is:

\[ 4x + 5 - (6x + 7) = 15 \]

First, distribute the negative sign across the terms in the parentheses:

\[ 4x + 5 - 6x - 7 = 15 \]

Now, combine like terms on the left side:

\[ (4x - 6x) + (5 - 7) = 15 \]

This simplifies to:

\[ -2x - 2 = 15 \]

Next, add 2 to both sides to isolate the term with \( x \):

\[ -2x = 15 + 2 \]

\[ -2x = 17 \]

Now, divide both sides by -2:

\[ x = \frac{17}{-2} \]

So,

\[ x = -\frac{17}{2} \]

Or, in decimal form:

\[ x = -8.5 \]

Thus, the solution to the equation is:

\[ x = -\frac{17}{2} \] or \( x = -8.5 \).