The result of this equation 6(1−4x)+7(2+5x)=53 is x =3.
Let's solve the equation:
6(1−4x)+7(2+5x)=53
We can solve the equation by rearranging the terms, distributing the coefficients, combining like terms, adding/subtracting to both sides, dividing both sides of the equation by the same factor, and simplifying.
Rearrange terms:
6(−4x+1)+7(2+5x)=53
Distribute:
−24x+6+7(2+5x)=53
Rearrange terms:
−24x+6+35x+14=53
Distribute:
−24x+20+35x=53
Add the numbers:
11x+20=53
Combine like terms:
11x=33
Dividing both side by 11 we get value of x as
x = 3
Question:-
Solve each of the following equations and check your answers:
6(1-4x) +7 (2+5x) = 53