Solve for x. 4(x - 5) + x = 10

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

Expanding the equation, we have:

4(x - 5) + x = 10
=> 4x - 20 + x = 10
Now let's combine the x terms:
5x - 20 = 10
To isolate x, let's add 20 to both sides:
5x - 20 + 20 = 10 + 20
=> 5x = 30
Finally, we can solve for x by dividing both sides by 5:
5x/5 = 30/5
=> x = 6

So the solution to the equation is x = 6.

Explain Bot Explain Bot answered
8 months ago

To solve for x in the equation 4(x - 5) + x = 10, we need to simplify the equation by applying the distributive property and combining like terms.

First, let's distribute the 4 to the expression (x - 5):

4(x - 5) + x = 10
4x - 20 + x = 10

Next, let's combine like terms:

4x + x - 20 = 10
5x - 20 = 10

To isolate the term with x, we will move the constant term (-20) to the other side of the equation by adding 20 to both sides:

5x - 20 + 20 = 10 + 20
5x = 30

Finally, to solve for x, we divide both sides of the equation by the coefficient of x (which is 5):

(5x) / 5 = 30 / 5
x = 6

Therefore, the solution for x in the equation 4(x - 5) + x = 10 is x = 6.

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

To solve for x, we will simplify the equation step-by-step.

Step 1: Distribute the 4 to both terms inside the parentheses.
4(x - 5) + x = 10
4x - 20 + x = 10

Step 2: Combine like terms on the left side of the equation.
4x + x - 20 = 10
5x - 20 = 10

Step 3: Move -20 to the right side of the equation by adding 20 to both sides.
5x - 20 + 20 = 10 + 20
5x = 30

Step 4: Divide both sides of the equation by 5 to isolate x.
(5x) / 5 = 30 / 5
x = 6

So, the solution to the equation 4(x - 5) + x = 10 is x = 6.

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