Question

Solve this equation
6x+30+4x=10(x+3)

Answer 1

Infinite solutions.

Explanation:

6x+30+4x=10(x+3)

6x + 30 + 4x = 10x + 30

10x + 30 = 10x + 30

This is an identity so there are infinite values that x can take.

Answer 2

infinite solutions

Explanation:

6x + 30 + 4x = 10(x + 3)

distribute the 10:

6x + 30 + 4x = 10x + 30

combine like terms:

10x + 30 = 10x + 30

subtract 10x from both sides:

30 = 30

Because the variable cancels out and leaves a true statement, there are infinite solutions. It will be true no matter what value you plug in for x.