Question

2. Solve the following equations using transposition method.
42 = 8(x + 3) +2​

Answer 1

Answer:

2. Solve the following equations using transposition method.

42 = 8(x + 3) +2

Simplifying

8(x + 3) + 2 = 42

Reorder the terms:

8(3 + x) + 2 = 42

(3 * 8 + x * 8) + 2 = 42

(24 + 8x) + 2 = 42

Reorder the terms:

24 + 2 + 8x = 42

Combine like terms: 24 + 2 = 26

26 + 8x = 42

Solving

26 + 8x = 42

Solving for variable 'x'.

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

Add '-26' to each side of the equation.

26 + -26 + 8x = 42 + -26

Combine like terms: 26 + -26 = 0

0 + 8x = 42 + -26

8x = 42 + -26

Combine like terms: 42 + -26 = 16

8x = 16

Divide each side by '8'.

x = 2

Simplifying

x = 2

hope it is helpful thank you

Answer 2

Step-by-step explanation:

42=8(x+3)+2

42-2=8(x+3)

40=8(x+2)

40/8=(x+2)

5=(x+2)

5-2=x

x=3