3x+8=5x+2,Solve the given equation without transposing and check your result.
Answers
Answer : x = 3
3x+8=5x+2 where X is 3
Explanation :-
Given :-
3x+8=5x+2,Solve the given equation without transposing and check your result.
3x+8=5x+2
Subtract 5x on both sides
3x - 5x +8 = 5x - 5x +2
-2x + 8 = 2
Subtract 8 on both sides
-2x +8 -8 = 2 - 8
-2x = - 6
Divide - 2 on both sides
-2x/-2 = -6/-2
x = 3.
Checking results :-
3x+8=5x+2
Substitute the value of x
3(3) +8 = 5(3) +2
9 + 8 = 15 + 2
17 = 17.
LHS = RHS
hence, verified
Answer:
1
Subtract
8
88
from both sides of the equation
3+8=5+2
3x+8=5x+23x+8=5x+2
3+8−8=5+2−8
3x+8{\color{#c92786}{-8}}=5x+2{\color{#c92786}{-8}}3x+8−8=5x+2−8
2
Simplify
Subtract the numbers
3+8−8=5+2−8
3x+{\color{#c92786}{8}}{\color{#c92786}{-8}}=5x+2-83x+8−8=5x+2−8
3=5+2−8
3+8=5+2
3x+8=5x+23x+8=5x+2
3+8−8=5+2−
Divide the numbers
=−6−2
x={\color{#c92786}{\frac{-6}{-2}}}x=−2−6
=3
x={\color{#c92786}{3}}x=3
=3
x=3x=3
Solution
=3
Simplify
Cancel terms that are in both the numerator and denominator
−2−2=−6−2
{\color{#c92786}{\frac{-2x}{-2}}}=\frac{-6}{-2}−2−2x=−2−6
=−6−2
Combine like terms
−2=5−6−5
-2x={\color{#c92786}{5x}}-6{\color{#c92786}{-5x}}−2x=5x−6−5x
−2=−6
-2x=-6−2x=−6
−2=−6
-2x=-6−2x=−6
5
Divide both sides of the equation by the same term
−2=−6
-2x=-6−2x=−6
−2−2=−6−2