Explanation:
Given that:
4(4x - 4) + x + 4 = - 46
Multiply the number outside of the bracket with numbers in the bracket on LHS.
⇛16x - 16 + x - 4 = -46
⇛16x + x - 16 - 4 = -46
⇛16x + x - 12 = -46
Shift constant from LHS to RHS, changing it's sign.
⇛16x + x = -46 + 12
Subtract and add the values on LHS and RHS.
⇛17x = -34
Shift the number 17 from LHS to RHS.
⇛x = -34/17
Simplify the fraction to get the value of x.
⇛-2
Therefore, x = -2
Please let me know if you have any other questions.