Question

Substitute the value of x back into the equation x+3−2x=−1+x+5 to justify the solution. What value of x is the solution?

A) 4
B) 2
C) 5
D) 3

Answer 1

The equation x+3-2x=-1+x+5 simplifies to -1 = 2x, which yields x = -1/2. However, this solution does not match any of the provided choices, suggesting an error in the question or the options.

Step-by-step explanation:

To find the value of x that is the solution to the equation x+3−2x=−1+x+5

, we can simplify and solve for x:

Combine like terms on each side:

x - 2x + 3 = x + (-1) + 5

Simplify both sides: -x + 3 = x + 4

Get all x terms on one side by adding x

to both sides: -x + x + 3 = x + x + 4

Simplify the new equation:

3 = 2x + 4

Subtract 4 from both sides to isolate x:

3 - 4 = 2x Simplify again: -1 = 2x Divide by 2 to solve for x: x = -1/2

However, none of the provided answer choices includes ;

x = -1/2

Therefore, there must have been an error in the question or the answer choices, as x = -1/2 is not listed.