Question

What is the solution to the equation 8+4=2(x-1)?
O 5
O11/2
O 13/2
O 7

Answer 1

x = 7

Explanation:

Here are the steps I took to simplify this equation [to isolate x]:

8+4=2(x-1)

12 = 2x - 2

+ 2 + 2

14 = 2x

÷2 ÷2

7 = x

(check: 12 = 2 (7-1) -> 12 = 2(6) true statement means that answer is correct)

Answer 2

5

Explanation:

Simplifying

8 + 4 = 2(x + 1)

Combine like terms: 8 + 4 = 12

12 = 2(x + 1)

Reorder the terms:

12 = 2(1 + x)

12 = (1 * 2 + x * 2)

12 = (2 + 2x)

Solving

12 = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

12 + -2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0

12 + -2x = 2 + 0

12 + -2x = 2

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

12 + -12 + -2x = 2 + -12

Combine like terms: 12 + -12 = 0

0 + -2x = 2 + -12

-2x = 2 + -12

Combine like terms: 2 + -12 = -10

-2x = -10

Divide each side by '-2'.

x = 5

Simplifying

x = 5