Solve linear equation and check: 7x+3=6(x-1)+9

Question
Linear equations and graphs
asked 2021-01-02
Solve linear equation and check: 7x+3=6(x-1)+9

Answers (1)

2021-01-03
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
0

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