Question

____________ is the solution of $ 3x + 10 = 7 $

Answer 1

Hint: Move all the terms on one side of the equation and make the required term “x” the subject. When you move a term from one side to another remember to change its sign also. Here positive will become negative.

Complete step-by-step answer:
Take the given expression: $ 3x + 10 = 7 $
Move the constant term on the opposite side, when you move any term from one side to the opposite side then the sign of the term is also changed. Positive term will become negative and negative term will become positive.
 $ 3x = 7 - 10 $
When you subtract a bigger number from the positive smaller number then the sign to the resultant value will be negative.
 $ 3x = - 3 $
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
 $ x = - \dfrac{3}{3} $
Common factors from the numerator and the denominator cancels each other.
 $ x = - 1 $
Hence, $ ( - 1) $ is the solution of $ 3x + 10 = 7 $
So, the correct answer is “-1”.

Note: Always remember when you move any term in addition or subtraction on one side to the opposite side then its sign is changed. Positive is changed to negative and similarly negative is changed to positive. Also, remember that the common factors from the numerator and the denominator cancels each other.