Question

What is the answer for this quetion
−30=5(x+1)

Answer 1

$\bf \red{ \underline{ \underline{Solution}}}$

$- 30 = 5(x + 1)$

$- 30 = 5x + 5$

$5x = - 30 - 5$

$5x = - 35$

$x = \frac{ - 35}{5}$

$\pink {x = - 7}$

Knowledge enhancer:

• Constant: A symbol which has a fixed numerical value is called a constant.

For e.g, 3,-6

• Variable : A symbol which can take different numerical values in different situations is called a variable.

For e.g, x,y

• Terms: The Various parts of an algebraic expression connected by + or - sign are called Terms.

For e.g,-3xy,4x+3y

Answer 2

$\huge\underline\mathcal\purple{Solution :}$

- 30 = 5(x + 1)

=> - 30 = 5x + 5

By transposing,

=> - 5x = 5 + 30

=> - 5x = 35

=> x = $\dfrac{35}{- 5}$

=> x = $\dfrac{7}{- 1}$ = $\dfrac{-7}{1}$

=> x = - 7

$\huge\underline\mathcal\purple{Verification :}$

- 30 = 5(x + 1)

Putting the value of x

=> -30 = 5(-7 + 1)

=> -30 = 5(-6)

=> -30 = -30

Hence verified !!

$\huge\underline\mathcal\purple{More\: to\: know:}$

An equation is a statement which says that two things are equal. It will have an equals sign "="

ex = 2x + 1 = 5

An expression is a mathematical statement that includes numbers, symbols, or both. It doesn't have an equals sign.

ex = 2x + 1

A variable is a quantity that may change within the context of a mathematical problem Its value is not fixed.

ex= x, y, z

Term is either a single number or variable, or numbers and variables multiplied together that are separated by " +" or "−" or divide.

ex = 2x and 1

Constant is a value that doesn't change or a fixed value.

ex = 1