Question

Solve:

13(x − 4) - 3(x − 9) − 5(x + 4) = 0

Answer 1

13(x − 4) − 3(x − 9) − 5(x + 4) = 0

Distribute the coefficients:

13(x − 4) = 13x − 52

−3(x − 9) = −3x + 27

−5(x + 4) = −5x − 20

Substitute these back into the equation: 13x − 52 − 3x + 27 − 5x − 20 = 0

Combine x-terms: 13x − 3x − 5x = 5x

Combine constant terms: −52 + 27 − 20 = −45

The equation becomes: 5x − 45 = 0

Add 45 to both sides: 5x = 45

Divide by 5: x = 9

x = 9