Question

(d) -2x – 5 = 5x – 12 solve these​

Answer 1

Answer:

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Step-by-step explanation:

-2x-5=5x-12

-2x-5=5x-12-5 +12 = 5x +2x

-2x-5=5x-12-5 +12 = 5x +2x 7=7x

-2x-5=5x-12-5 +12 = 5x +2x 7=7x 1=x

Answer 2

★ How to do :-

Here, we are given with an equation which has two variables term and two constants term. In the variables we are given with a variable 'x' in which we are asked to find the value of that variable. So, here we are going to use some other concepts such as the transportation of numbers from one hand side to other and also the step by step explanation is done in the solution by simplification. The verification is also given which males easier to prove it.

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➤ Solution :-

${\tt \leadsto - 2x - 5 = 5x - 12}$

Shift the variables on LHS and the constants on RHS, changing it's sign.

${\tt \leadsto - 2x - 5x = - 12 + 5}$

Subtract the variables and add the constants.

${\tt \leadsto - 7x = - 7}$

Shift the number - 7 from LHS to RHS, changing it's sign.

${\tt \leadsto x = \dfrac{( - 7)}{( - 7)}}$

Simplify the fraction obtained.

${\tt \leadsto \pink{\underline{\boxed{\tt x = 1}}}}$

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Verification :-

${\tt \leadsto - 2x - 5 = 5x - 12}$

Apply the value of 'x' and solve.

${\tt \leadsto (- 2 \times 1) - 5 = (5 \times 1) - 12}$

Solve the brackets first.

${\tt \leadsto - 2 - 5 = 5 - 12}$

Simplify the equation now.

${\tt \leadsto - 7 = - 7}$

${\tt \leadsto LHS = RHS}$

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Hence verified !!