Question

Simplify the expression 8 - 2x + 12x - 3. Show that your answer is true for x=2

Answer 1

8 - 2x + 12x - 3

8 + (-2x + 12x) - 3

8 + 10x - 3

8-3 + 10x

5 + 10x

10x +5

Answer 2

Simplified Expression if x=2:
8-2x+12x-3 Original Problem
8-2(2)+12(2)-3 Substitute 2 in for variable "x"
8-4+24-3 Subtract 4 from 8
4+24-3 Subtract 3 from 24
4+21 Add 4 to 21
25 The answer is 25 if x=2

Simplified Expression w/o x=2:
8-2x+12x-3 Original Problem
-2x+12x+5 Subtract 3 from 8
10x+5 Add -2x to 12x
10x+5 Simplified without x=2

To check if x=2:
10x+5 Original Problem
10(2)+5 Substitute 2 in for the variable "x"
20+5 Multiply 10 by 2
25 Add 5
25 Final Answer

The step(s) to get to the answer I got is on the right sides of the equation(s).