The methods used by the equations are Direct substitution, Isolating x using addition/subtraction, Combining like terms, and Distributing and combining like terms respectively. The values of x in every equation are 5, 20, 2, and 8 respectively.
For Equation 1: 4x = 20
The method used is Direct substitution. This equation is already solved for x. We can simply divide both sides by 4 to get x:
x = 20 / 4
x = 5
For Equation 2: x – 11 = 9
The method used is Isolating x using addition/subtraction. Add 11 to both sides to isolate x on the left side:
x – 11 + 11 = 9 + 11
x = 20
For Equation 3: 5x + 6x = 22
The method used is Combining like terms. Combine the 5x and 6x terms on the left side:
11x = 22
Then, divide both sides by 11 to solve for x:
x = 22 / 11
x = 2
For Equation 4: 5(x – 2) = 30
The method used is Distributing and combining like terms. First, use the distributive property to distribute the 5 on the left side:
5x – 10 = 30
Then, we combine the x terms on the left side:
5x – 10 + 10 = 30 + 10
5x = 40
Finally, we divide both sides by 5 to solve for x:
x = 40 / 5
x = 8