Answer:
Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
Step-by-step explanation:
Jon solved:
7-3(4-2x)-10x
4(4-2x)-10x
16-8x-10x
16-18x
Error in John Work
The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.
Madison Solved:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x
Error in Madison Work
The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them
Selina Solved:
7-3(4-2x)-10x
7-12-2x-10x
-7-12x
Error in Selina Work
The error in Selina work is that she wrongly multiplied -3 with -2x
-3(-2x) we get 6x but Selina found it to be -2x which is wrong.
My solution:
Now, we will solve the equation correctly
[tex]7-3(4-2x)-10x[/tex]
First, multiply -3 with terms inside the bracket
[tex]7-12+6x-10x[/tex]
Now, combine like terms
[tex]7-12+6x-10x\\-5-4x[/tex]
or we can write -4x-5
So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
