Question

22x+70=17x-95 show step by step please

Answer 1

Value of x is -33.

Explanation:

`\sf22x+70=17x-95`

We combine x term together. In this equation there are two extra 22x and 17x and 17x is right hand side and we have to shift it left hand side so we have to change sign. 17x is a positive number so we have to shift in left hand side so it convert into negative number means - 17x.

`\sf22x - 17x=-95 - 70`

Now, we combine next terms together and in right hand side we shift -70. Because in left hand side 70 is a positive number then we have to shift it right hand side so it change into negative.

`\sf5x = - 165`

We write 5x because we subtract 22 with 17 and in right inside we write minus 165 because we add - 95 and -70. we can't subtract minus 95 and -70 because in front of the both of number there is a sign of minus.

Remember :-

• - and - = +
• + and - = -
• - and + = -

`\sf x = ( - 165)/(5)`

We divide -165 by 5. Because in Left hand side 5x is in multiple so we shift it Right hand side and it turns into divide.

`\sf \:x = - 33`

Now, we get value of x is -33.

Verification :-

Put values of x -33

22x+70

22×(-33) +70

= -726 + 70

= -656

Now, in R.H.S

17x-95

17×(-33) -95

= - 561 - 95

= - 656

L.H.S = R.H.S

Hence, proved

Note :-

L.H.S = Left hand side

R.H.S = Right hand side

Answer 2

`22x + 70 = 17x - 95`
Move variables to the left by adding their opposites to both sides. Eliminate the opposites.


`22x - 17x + 70 = - 95`
Move constants to the right by adding their opposites to both sides. Eliminate the opposites.


`22x - 17x = - 95 - 70`
Collect the like terms by subtracting their coefficients and numbers.


`5x = - 95 - 70`
Calculate the sum or difference. Extract the negative sign from the expression. Add the numbers.


`5x = - 165`
Divide both sides of the equation by 5 and calculate the quotient.


`x = - 33`