SOLUTION: 3.6 Solve and check the following Linear equation 2=5(x-4)-(x-6) What is the solution? The solution set is { }

Algebra.Com
Question 1012241: 3.6
Solve and check the following Linear equation
2=5(x-4)-(x-6)
What is the solution?
The solution set is { }

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
2 = 5(x-4) - (x-6)

remove parentheses to get 2 = 5x - 20 - x + 6

combine like terms to get 2 = 4x - 14.

add 14 to both sides of the equaton to get 2 + 14 = 4x

simplify to get 16 = 4x.

divide both sides of the equation by 4 to get x = 4.

replace x with 4 in your original equation to get 2 = 5(x-4) - (x-6) becomes 2 = 5(4-4) - (4-6) which becomes 2 = 5*0 - (-2) which becomes 2 = 0 + 2 which becomes 2 = 2, confirming the solution is correct.








RELATED QUESTIONS

Solve and check the linear equation. x/3=4+(x-3/5) The solution set is { }?   (answered by Alan3354)
Solve and check the linear equation. x/3=4+(x-30/5) The solution set is { }?   (answered by Alan3354)
Solve and check the linear equation. 3(x-6)-6(x-3)=x+3-(x-3) The solution se is {... (answered by chen.aavaz)
Solve and check the linear equation. 6(x-3)=x+3-(x-3) The solution se is {... (answered by Boreal)
solve equation and check the solution 5(x-2)-4x=2(x-6)+2... (answered by jim_thompson5910)
Please help me: Solve the linear inequality: The solution set is x/3 + 5x/6 _<... (answered by rfer)
6 = x^2 - x solution set for the following... (answered by jim_thompson5910)
Solve. What is the solution set?... (answered by Fombitz)
Solve and check the given equation with rational exponents. x^5/2=32 The solution set... (answered by ikleyn)