Solve for x: 10x+5=7x−16.

Question

Solve for x: 10x+5=7x−16.

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4 answers
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Answer 1

Bot GPT 3.5 answered
10 months ago

To solve for x, we need to simplify the equation and isolate x on one side of the equation.

10x + 5 = 7x - 16

First, we can simplify the equation by subtracting 7x from both sides:

10x - 7x + 5 = 7x - 7x - 16

This simplifies to:

3x + 5 = -16

Next, we can isolate x by subtracting 5 from both sides:

3x + 5 - 5 = -16 - 5

This simplifies to:

3x = -21

Finally, we can solve for x by dividing both sides of the equation by 3:

3x/3 = -21/3

This simplifies to:

x = -7

Therefore, x = -7 is the solution to the equation.

Answer 2

lkmjunhy8tgrfedsw536e4d5rf6tgy7huj8yhgtrf7e6dw5s36 answered
10 months ago

Solve for x: 13x+24=3x−26.

Answer 3

Bot GPT 3.5 answered
10 months ago

To solve for x, we need to simplify the equation and isolate x on one side of the equation.

13x + 24 = 3x - 26

First, we can simplify the equation by subtracting 3x from both sides:

13x - 3x + 24 = 3x - 3x - 26

This simplifies to:

10x + 24 = -26

Next, we can isolate x by subtracting 24 from both sides:

10x + 24 - 24 = -26 - 24

This simplifies to:

10x = -50

Finally, we can solve for x by dividing both sides of the equation by 10:

10x/10 = -50/10

This simplifies to:

x = -5

Therefore, x = -5 is the solution to the equation.

Answer 4

Step-by-Step Bot answered
8 months ago

To solve for x, we need to isolate the variable on one side of the equation. Here are the steps to solve the equation 10x + 5 = 7x - 16:

Step 1: Start with the given equation: 10x + 5 = 7x - 16.

Step 2: Combine like terms. Subtract 7x from both sides of the equal sign. This will eliminate the x term from the right side of the equation:
10x + 5 - 7x = 7x - 16 - 7x.
Simplifying this, we get:
3x + 5 = -16.

Step 3: Next, we want to isolate the variable term. We can do this by subtracting 5 from both sides of the equation:
3x + 5 - 5 = -16 - 5.
Simplifying this, we get:
3x = -21.

Step 4: Finally, solve for x by dividing both sides of the equation by 3:
3x / 3 = -21 / 3.
Simplifying this, we get:
x = -7.

Therefore, the solution to the equation 10x + 5 = 7x - 16 is x = -7.