Question

Having a hard time solving this​

Answer 1

t = -13

Explanation:

5t + 12 = 4t - 1

In order to solve this equation, you first need to add 1, so that it cancels out -1 on the right side. Since there is a rule saying that whatever you do to one side, you need to do to the other, you have to also add 1 to 12, since you can't add 1 to 5t. So,

5t + 12 = 4t - 1

+1 +1

5t + 13 = 4t

Now, you need to combine like terms, which would be the t variables:

5t + 13 = 4t

-5t -5t

13 = -t

We cannot have the - sign in front of the t, so we have to divide each side by - in order to remove the - in front of the t

13 = -t

/- /-

t = -13

Answer 2

T=-13

Explanation:

Simplifying

5t + 12 = 4t + -1

Reorder the terms:

12 + 5t = 4t + -1

Reorder the terms:

12 + 5t = -1 + 4t

Solving

12 + 5t = -1 + 4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4t' to each side of the equation.

12 + 5t + -4t = -1 + 4t + -4t

Combine like terms: 5t + -4t = 1t

12 + 1t = -1 + 4t + -4t

Combine like terms: 4t + -4t = 0

12 + 1t = -1 + 0

12 + 1t = -1

Add '-12' to each side of the equation.

12 + -12 + 1t = -1 + -12

Combine like terms: 12 + -12 = 0

0 + 1t = -1 + -12

1t = -1 + -12

Combine like terms: -1 + -12 = -13

1t = -13

Divide each side by '1'.

t = -13

Simplifying

t = -13