Answer:
B. The error is in step 2, [tex]-x\text{ and }3x[/tex] combine to make [tex]2x[/tex] not [tex]4x[/tex].
Step-by-step explanation:
We have been an image that represents Grant's solution of an equation. We are asked to find Grant's error.
[tex]-4+2x=5-(x-3)+3x[/tex]
Let us see our given equation by using distributive property [tex]a(b+c)=a\cdot b+a\cdot c[/tex].
[tex]-4+2x=5-x+3+3x[/tex]
Now we will gather like terms.
[tex]-4+2x=5+3+3x-x[/tex]
[tex]-4+2x=8+2x[/tex]
Upon looking at Grant's work, we can see that he combined [tex]3x-x[/tex] incorrectly. Instead of subtracting x, he added x to 3x, therefore, Grant made an error in step 2 and option B is the correct choice.
