The solution to Equation 1 is x = 3 and the solution to Equation 2 is x = -15.
The solutions to the equations:
Equation 1:
7 + 5(x - 2) = 12
Distributing the 5 on the left side of the equation, we get:
7 + 5x - 10 = 12
Combining like terms on the left side of the equation, we get:
5x - 3 = 12
Adding 3 to both sides of the equation, we get:
5x = 15
Dividing both sides of the equation by 5, we get:
x = 3
Therefore, the solution to Equation 1 is x = 3.
Equation 2:
4(x-12) +19 = -89
Distributing the 4 on the left side of the equation, we get:
4x - 48 + 19 = -89
Combining like terms on the left side of the equation, we get:
4x - 29 = -89
Adding 29 to both sides of the equation, we get:
4x = -60
Dividing both sides of the equation by 4, we get:
x = -15
Therefore, the solution to Equation 2 is x = -15.