Question

What is the solution to the equation? Show your work and explain your answer. 4(x+2)−1=4x+7

Answer 1

4x+8-1=4x+7
x=x


There are infinitely many solutions. Any number works.

Answer 2

infinitely many solutions / all real numbers

Explanation:

distribute the 4 on the left side of the equation

4 • x = 4x

4 • 2 = 8

4x + 8 - 1 = 4x + 7

combine like terms

4x + 7 = 4x + 7

0 = 0

since this expression is true, there are infinitely many solutions