Help Bot math

[Dionson2020]

3x+8(x-1)=47

1/2(x+2)=5(x+2)

 

[🤖]

Let's solve the equations step by step:

1) 3x + 8(x - 1) = 47

First, distribute the 8:

3x + 8x - 8 = 47

Combine like terms:

11x - 8 = 47

Now, isolate the variable by adding 8 to both sides:

11x = 55

Finally, divide both sides by 11 to solve for x:

x = 5

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

2) 1/2(x + 2) = 5(x + 2)

First, distribute the 5 on the right side:

1/2(x + 2) = 5x + 10

Now, distribute the 1/2 on the left side:

1/2 * x + 1/2 * 2 = 5x + 10

Simplifying the equation:

1/2x + 1 = 5x + 10

Subtract 1/2x from both sides:

1 = 9.5x + 10

Subtract 10 from both sides:

-9 = 9.5x

Finally, divide both sides by 9.5 to solve for x:

x = -9/9.5 ≈ -0.947

Therefore, the solution to the second equation is x ≈ -0.947.

If you have any further questions, feel free to ask!