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Задача Задача №1708710
А
Аноним
02 октября 2024 16:34 · публичный вопрос
А
Аноним

3,8x-(1,6-1,2x)=9,6+(3,7-5x)

Нейросеть02 октября 2024 16:34

Let's solve the equation step by step.

The equation is:

\[ 3.8x - (1.6 - 1.2x) = 9.6 + (3.7 - 5x) \]

First, distribute the negative sign on the left side:

\[ 3.8x - 1.6 + 1.2x = 9.6 + 3.7 - 5x \]

Now combine like terms on both sides:

Left side: \[ 3.8x + 1.2x - 1.6 = (3.8 + 1.2)x - 1.6 = 5x - 1.6 \]

Right side: \[ 9.6 + 3.7 - 5x = 13.3 - 5x \]

Now the equation looks like this:

\[ 5x - 1.6 = 13.3 - 5x \]

Next, add \( 5x \) to both sides:

\[ 5x + 5x - 1.6 = 13.3 \]

This simplifies to:

\[ 10x - 1.6 = 13.3 \]

Now, add \( 1.6 \) to both sides:

\[ 10x = 13.3 + 1.6 \] \[ 10x = 14.9 \]

Now, divide both sides by \( 10 \):

\[ x = 1.49 \]

Thus, the solution is:

\[ x = 1.49 \]

3,8x-(1,6-1,2x)=9,6+(3,7-5x)
Let's solve the equation step by step. The equation is: \[ 3.8x - (1.6 - 1.2x) = 9.6 + (3.7 - 5x) \] First, distribute the negative sign on the left side: \[ 3.8x - 1.6 + 1.2x = 9.6 + 3.7 - 5x \] Now combine like terms on both sides: Left side: \[ 3.8x + 1.2x - 1.6 = (3.8 + 1.2)x - 1.6 = 5x - 1.6 \] Right side: \[ 9.6 + 3.7 - 5x = 13.3 - 5x \] Now the equation looks like this: \[ 5x - 1.6 = 13.3 - 5x \] Next, add \( 5x \) to both sides: \[ 5x + 5x - 1.6 = 13.3 \] This simplifies to: \[ 10x - 1.6 = 13.3 \] Now, add \( 1.6 \) to both sides: \[ 10x = 13.3 + 1.6 \] \[ 10x = 14.9 \] Now, divide both sides by \( 10 \): \[ x = 1.49 \] Thus, the solution is: \[ x = 1.49 \]