Answer:
x=-50
Step-by-step explanation:
I used the method of balancing equations:
Add -40x to both sides
-38x+43 + 40x = -40x-57+40x
Simplify:
2x+43 = -57
Subtract 43 from both sides:
2x+43 -43 = -57 -43
Simplify:
2x = -100
Solve for x
2x÷2 = -100÷2
x = -50
Hope this helped and brainliest please
Answer:
Step-by-step explanation:
In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .
So let's start our Solution : -
[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]
Step 1 : Subtracting 43 on both sides :
[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]
On calculating further , We get :
[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]
Step 2 : Adding 40x on both sides :
[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]
On calculating further , We get :
[tex] \hookrightarrow \:2x = - 100[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]
On calculating further , We get :
[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]
Verifying : -
Now we're verifying our answer by substituting value of x in given equation . So ,
Therefore , our solution is valid .
