Solve the equation. \frac{3+5x}{5}=\frac{4-x}{7}

skeexerxo175o

skeexerxo175o

Answered question

2021-11-20

Solve the equation.
3+5x5=4x7

Answer & Explanation

Fachur

Fachur

Beginner2021-11-21Added 17 answers

Given,
3+5x5=4x7
Step 2
On simplification, we get
7(3+5x)=5(4x)
21+35x=205x
35x+5x=2021
40x=1
x=140
John Twitchell

John Twitchell

Beginner2021-11-22Added 19 answers

(3+5x)/5=(4-x)/7
We simplify the equation to the form, which is simple to understand
(3+5x)/5=(4-x)/7
Reorder the terms in parentheses
( + 0.6+1x)=(4-x)/7
Remove unnecessary parentheses
+ 0.6+1x=(4-x)/7
Reorder the terms in parentheses
+ 0.6+1x=( + 0.571428571429-0.142857142857x)
Remove unnecessary parentheses
+ 0.6+1x=0.571428571429-0.142857142857x
We move all terms containing x to the left and all other terms to the right.
+1x + 0.142857142857x=0.571428571429-0.6
We simplify left and right side of the equation.
+1.14285714286x=-0.0285714285714
We divide both sides of the equation by 1.14285714286 to get x.
x=-0.025

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