Question

Can you explain why the answer to 12-8x=3(x+4) is x=0 ?

Answer 1

it is x= 0

Explanation:

you distribute the numbers in the parentheses first so your new equation would be 12 - 8x = 3x + 12 (basically multiply 3 by what was in the parentheses)

then cancel equal terms so 12 - 8x = 3x + 12 becomes -8x = 3x

after that move the variable and the 3 to the left while changing the sign from + to - (the + sign is implied since it's a positive number) your new equation becomes -8x - 3x = 0

next collect like terms so the numbers with the same variable meaning subtract -8x - 3x also known as -8x + -3x creating the equation -11x =0

finally divide both sides of the equation -11x = 0 by -11 creating x=0

Answer 2

12 - 0 = 12.

Explanation:

If you substitute all x values for 0, then you get 12 - 8(0) = 3(0+4). Combine like terms and you will arrive at 12 - 0 = 3(4). Which then goes to 12 - 0 = 12. Since 0 has no value, just remove it from the equation. You are left with 12 = 12.