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,...
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(1) Addition Property of Equality; twice
(2) Multiplication Property of Equality
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.
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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 (!)
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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 (!)
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