Question

6 ( x + 3 ) = 7 ( x + 1 )
solve the following equation using systematic method. pls tell this solution​

Answer 1

Step-by-step explanation:

Distribute

6(+3)=7(+1)

{\color{#c92786}{6(x+3)}}=7(x+1)6(x+3)=7(x+1)

6+18=7(+1)

{\color{#c92786}{6x+18}}=7(x+1)6x+18=7(x+1)

2

Distribute

6+18=7(+1)

6x+18={\color{#c92786}{7(x+1)}}6x+18=7(x+1)

6+18=7+7

6x+18={\color{#c92786}{7x+7}}6x+18=7x+7

3

Subtract 

18

1818

 from both sides of the equation

6+18=7+7

6x+18=7x+76x+18=7x+7

6+18−18=7+7−18

6x+18{\color{#c92786}{-18}}=7x+7{\color{#c92786}{-18}}6x+18−18=7x+7−18

4

Simplify

Subtract the numbers

Subtract the numbers

6=7−11

6x=7x-116x=7x−11

5

Subtract 

7

7x7x

 from both sides of the equation

6=7−11

6x=7x-116x=7x−11

6−7=7−11−7

6x{\color{#c92786}{-7x}}=7x-11{\color{#c92786}{-7x}}6x−7x=7x−11−7x

6

Simplify

Combine like terms

Combine like terms

−=−11

-x=-11−x=−11

7

Divide both sides of the equation by the same term

−=−11

-x=-11−x=−11

−−1=−11−1

\frac{-x}{{\color{#c92786}{-1}}}=\frac{-11}{{\color{#c92786}{-1}}}−1−x=−1−11

8

Simplify

Cancel terms that are in both the numerator and denominator

Answer 2

Answer:

11

Step-by-step explanation:

6(x+3) = 7(x+1)

6x+18 = 7x +7

6x+18-7 =7x(transposing 7 to LHS)

6x+11 =7x

11=7x-6x(Transposing 6x to RHS)

11 =x

x=11(Ans)

please mark me brainlist