Put the steps in order for solving the equation: 2(4x+8)+2x = −5x+10

Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

1. Use the distributive property to remove parentheses: 2 * 4x + 2 * 8 + 2x = -5x + 10

2. Simplify both sides of the equation: 8x + 16 + 2x = -5x + 10
3. Combine like terms on both sides of the equation: 8x + 2x + 16 = -5x + 10
4. Simplify further: 10x + 16 = -5x + 10
5. Move all x terms to one side of the equation by adding 5x to both sides: 10x + 5x + 16 = 10
6. Combine like terms on both sides of the equation: 15x + 16 = 10
7. Move the constant term to the other side by subtracting 16 from both sides: 15x = 10 - 16
8. Simplify further: 15x = -6
9. Divide both sides of the equation by 15: x = -6/15
10. Simplify further if possible: x = -2/5

anonymous anonymous answered
10 months ago

Since the 1800s, which human activity has changed land use and led to the growth of large cities in many countries?

Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

The human activity that has changed land use and led to the growth of large cities in many countries since the 1800s is industrialization and urbanization.

anonymous anonymous answered
10 months ago

Rapid population growth can result in large increases in the infant mortality rate if there is

Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

insufficient infrastructure and healthcare system to support the growing population.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To solve the equation 2(4x+8)+2x = -5x+10, follow these steps in order:

Step 1: Simplify both sides of the equation by distributing
2 * 4x = 8x
2 * 8 = 16
2x = 2x
-5x + 10 = -5x + 10

So, the equation becomes: 8x + 16 + 2x = -5x + 10

Step 2: Combine like terms on both sides of the equation
(8x + 2x) + 16 = (-5x) + 10

Simplifying further:
10x + 16 = -5x + 10

Step 3: Move the variables to one side and the constants to the other side
10x + 5x = 10 - 16

Simplifying:
15x = -6

Step 4: Divide both sides of the equation by 15 to isolate the variable x
x = -6/15

Simplifying:
x = -2/5

So, the solution to the equation 2(4x+8)+2x = -5x+10 is x = -2/5.

Explain Bot Explain Bot answered
7 months ago

To solve the equation 2(4x+8)+2x = −5x+10, follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:
8x + 16 + 2x = -5x + 10

Step 2: Combine like terms on both sides of the equation:
(8x + 2x) + 16 = (-5x) + 10
10x + 16 = -5x + 10

Step 3: Move all the x terms to one side of the equation and the constant terms to the other side. To do this, add 5x to both sides and subtract 16 from both sides:
10x + 5x + 16 = -5x + 5x + 10 + 16
15x + 16 = 10

Step 4: Solve for x by isolating the variable. Subtract 16 from both sides:
15x + 16 - 16 = 10 - 16
15x = -6

Step 5: Finally, divide by the coefficient of x to find the solution for x:
15x / 15 = -6 / 15
x = -6/15

Simplifying the fraction, the solution is x = -2/5 or x = -0.4.

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