Need help....how to solve: 4x – 3 = 5x + 7?

Question

I would like to know proper way to solve, dont just want the answer

Thank you

Answer 1

Combine like terms, 4x-5x = 7+3

Then that becomes -x = 10

So x + -10

Answer 2

4x - 3 = 5x + 7 Combine like terms

4x - 5x - 3 = 7 Subract 5x from both sides

-x - 3 = 7 Add 3 to both sides

-x = 10 Divide -1 on both sides

x = -10 Final Answer.

Check by substituting your final answer in for x, and see if they equal.

4(-10) - 3 = 5(-10) + 7

-43 = -43

Answer is x = -10

Answer 3

4x-3=5x+7

4x-3+3=5x+7+3

4x-5x=5x-5x+10

-x=10

x=-10

Answer 4

Here are the steps:

4x – 3 = 5x + 7

4x -5x = 7+3

-x = 10

x = -10

Check: 4 times -10 = -40 less 3 = 43

5 times -10 = -50 plus 7 = 43

Answer 5

4x – 3 = 5x + 7

4x - 5x - 3 - 7 = 0

-x - 10 = 0

x = -10

Answer 6

Th above equation of 4x - 3 = 5x + 7 is what you call a conditional equation because it is only true for some but not all values of x.  Why do we solve equations? Equations are solved so that its existence is proven to imply an underlying truth of itself.  That is, equations of the form 4x -3 = 5x + 7 is solved so that there is a value that would yield an absolute truth of the standard equation.  That is also the reason why equations are solved analytically or algebraically so that you can deconstruct it into a series of parts necessary to find the missing value for the respective variable.  For this linear equation, you have to use the methods of algebra to analyze it into a series of steps with respect to the rules of arithmetic necessary to find that truth.  

Therefore, to solve this simple linear equation, first thing is to add || subtract the first-degree terms first and then perform arithmetic operations on the constant ones.  Semantically, 4x - 3 = 5x + 7 = -x - 3 = 7.  Everytime algebraic equations are being solved, the like-terms are moved respectively; that is, terms of like powers are added and subtracted and those of actual numeric values are added to their own kind.  Thus, -x - 3 = 7 = -x = 10, which implied that x = -10.  To check the validity of this solution, it always a good idea to substitute to once again ensure the equality in the equation.  By letting x = -10 yields, 4(-10) - 3 = 5(-10) + 7 = -43 = -43(check).  Thus, the solution of the linear equation 4x - 3 = 5x + 7 = -10.

J.C