Question

3.7-2.6(x-3)=5(8-0.2x)

Answer 1

Объяснение:

3.7-2.6(x-3)=5(8-0.2x)

3,7-2,6x+7,8=40-x

-1,6x=28,5

х=-17,8125

Answer 2

To solve the equation, follow these steps:

Step 1: Distribute the terms on both sides of the equation to eliminate parentheses. Step 2: Simplify the equation by combining like terms. Step 3: Move all the terms containing 'x' to one side and constant terms to the other side. Step 4: Solve for 'x'.

Let's go through the steps one by one:

Step 1: Distribute the terms 3.7 - 2.6(x - 3) = 5(8 - 0.2x)

To distribute, multiply each term inside the parentheses with the number outside the parentheses: 3.7 - 2.6x + 2.6 * 3 = 40 - 0.2x

Step 2: Simplify the equation 3.7 - 2.6x + 7.8 = 40 - 0.2x

Step 3: Move terms containing 'x' to one side and constants to the other side First, let's gather the terms containing 'x' on the left side by adding 0.2x to both sides: 3.7 - 2.6x + 7.8 + 0.2x = 40

Now, combine the constants on the right side: 3.7 + 7.8 = 40

Step 4: Solve for 'x' 11.5 - 2.4x = 40

To isolate 'x', subtract 11.5 from both sides: -2.4x = 40 - 11.5

Now, calculate the right side: -2.4x = 28.5

Finally, divide both sides by -2.4 to solve for 'x': x = 28.5 / -2.4 x = -11.875

So, the solution to the equation is: x = -11.875