Apply the distributive property to the right side of the equation as shown on the board

a(b-c)=a*b-a*c

7x+3=6(x-1)+9

\(\displaystyle\Rightarrow{7}{x}+{3}={\left(^\right)}{\left({x}\right)}-{\left({6}\right)}{\left({1}\right)}+{9}\)

\(\displaystyle\Rightarrow{7}{x}+{3}={6}{x}-{6}+{9}\)

Evaluate the constant terms on the right side as shown on the board

7x+3=6x+3

Subtract 3 from both sides as shown on the board

7x+3-3=6x+3-3

Cancelling out +3 and -3 from both sides, we get the equation as shown on the board

7x=6x

Subtract 6x from both sides as shown on the board

7x-6x=6x-6x

Cancelling out 6x and -6x from the right side we get the equation as shown on the board

7x-6x=0

Subtracting 6x from 7x on the left side we get the final value of x as shown on the board

x=0

Final answer

x=0

a(b-c)=a*b-a*c

7x+3=6(x-1)+9

\(\displaystyle\Rightarrow{7}{x}+{3}={\left(^\right)}{\left({x}\right)}-{\left({6}\right)}{\left({1}\right)}+{9}\)

\(\displaystyle\Rightarrow{7}{x}+{3}={6}{x}-{6}+{9}\)

Evaluate the constant terms on the right side as shown on the board

7x+3=6x+3

Subtract 3 from both sides as shown on the board

7x+3-3=6x+3-3

Cancelling out +3 and -3 from both sides, we get the equation as shown on the board

7x=6x

Subtract 6x from both sides as shown on the board

7x-6x=6x-6x

Cancelling out 6x and -6x from the right side we get the equation as shown on the board

7x-6x=0

Subtracting 6x from 7x on the left side we get the final value of x as shown on the board

x=0

Final answer

x=0