Question

5. Solve the following equations:
(a) 6x +15= 7x +3​

Answer 1

After transposing both sides

$\sf{6x-7x=3-15}$

Calculate both sides

$\sf{-x=-12}$

After multiplying by -1

$\sf{x=12}$

For your information,

• transposing the sides is a method of adding or subtracting on both sides.
• after we isolate unknown terms, divide by the number to find the solution.

Answer 2

Question :-

solve the following equation ;

a) 6x +15 = 7x +3

Answer :-

How to find it ?

we can find it by transposing method of linear equation .

Solution :-

$6x + 15 = 7x + 3$

$6x = 7x + 3 - 15$

when the 15 come to the LHS side the sign changes .

$6x = 7x - 12$

the value of 3-15 is -12 As the greater number is also having the subtraction sign the 12 will also have the subtraction sign .

$6x - 7x = - 12$

when 7x come to the RHS side . the sign changes

$- 1 x= - 12$

now the minus sign will be cancelled both the side .

$x = 12$

Hence , the answer will be 12 .