Question

5(2x − 4)= 10x − 20Solve for x

Answer 1

Answer: X= (-∞,∞)

Explanation:

Simplifying

5(2x + -4) = 10x + 20

Reorder the terms:

5(-4 + 2x) = 10x + 20

(-4 * 5 + 2x * 5) = 10x + 20

(-20 + 10x) = 10x + 20

Reorder the terms:

-20 + 10x = 20 + 10x

Add '-10x' to each side of the equation.

-20 + 10x + -10x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0

-20 + 0 = 20 + 10x + -10x

-20 = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0

-20 = 20 + 0

-20 = 20

Solving

-20 = 20

Answer 2

5(2x − 4)= 10x − 20

5*2x - 5*4 = 10x - 20

10x - 20 = 10x - 20

10x = 10x

Any real value attributed to x satisfies this equation. Therefore, there are infinite solutions to this equation.