SOLUTION: 0,5 is the solution of 3x+1=-5x+5 Please help me solve this and include each step please Thank you

Algebra.Com
Question 1166356: 0,5 is the solution of 3x+1=-5x+5
Please help me solve this and include each step please
Thank you

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
---------------------------------------
3x+1=-5x+5
Please help me solve this and incl,...
-----------------------------------------

(1) Addition Property of Equality; twice
(2) Multiplication Property of Equality


Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.

First step add 5x to both sides.  You will get

    3x + 5x + 1 = -5x + 5x + 5


Next, combine like terms.  You will get

    8x + 1 = 5.


Third step subtract 1 from both sides

    8x + 1 - 1 = 5 - 1


Next, combine like terms.  You will get

    8x         = 4.


Fifth step is to divide both sides by 8.  You will get

    x          =  = .


ANSWER.  x = .


CHECK.  Left side of the original equation is   =  = .

        Right side of the original equation is   =  = .

        Both sides are equal --- hence, the solution is correct (!)


Solved.   The solution is completed,  explained and checked.

-----------------

If you want to learn on how to solve simple and simplest linear equations,  read the lesson
    - HOW TO solve a linear equation
in this site.

Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.

Happy learning (!)


==============

When you solve similar equations, your first task is to collect all the terms with " x " on one side of the equation
and collect all constant terms on the other side.

Then you combine like terms.

The last step is to divide the equation (both sides) by the coefficient at x.


            You get then the expression

                x = some number (constant)

            and this number is your answer.


When you combine the terms with  " x "  on one side,  you transfer/move the terms from the other side
replacing their sign by the opposite sign.

It is the major secret  (technology/strategy)  of the solution.


                MEMORIZE  it  (!)


Come again to this forum soon to learn something new  (!)

You really  NEED  it  (!)



RELATED QUESTIONS

Please help solve this ! The question states. Explain each step in your solution.... (answered by ankor@dixie-net.com)
1.) Find the solutions of the equation. 3x^(4/3) + 5x^(2/3) - 2=0 Can... (answered by Alan3354)
please help me solve 4x-y=0 5x+y=9 by graphing, can you please include step by step... (answered by solver91311,checkley79)
Please help me solve the following by completing the square. Please include each step and (answered by ankor@dixie-net.com)
Please help me solve: find the solution to the equation graphically. 1. 5x - 3 = x -... (answered by checkley77)
Solve the following equation: (Please include a complete solution) 2x(x+5)-(3x+8)... (answered by greenestamps)
Please gave me a step by step explanation/answers for the following three problems using... (answered by jim_thompson5910)
please help me solve this problem. What is the lowest common denominator of 3/10x+10 and (answered by Tatiana_Stebko)
Is the ordered pair (-3, 6) a solution of 4x - 2y < 2? Could you please help me to... (answered by nabla)