Question

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

Linear equations and graphs
ANSWERED
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
\(a(b-c)=a\times b-a\times c\)
\(7x+3=6(x-1)+9\)
\(\Rightarrow7x+3=(6)(x)-(6)(1)+9\)
\(\displaystyle\Rightarrow{7}{x}+{3}={6}{x}-{6}+{9}\)
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
\(x=0\)

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