The solution to the equation is given as: x = 5a + 8/a + b.
To solve for x in an equation, it simply means you are required to find the value of x or make x the subject of the formula.
Given the equation, a(5 - x) = bx - 8, we can solve for x by following the steps below:
a(5 - x) = bx - 8
Open the bracket by applying the distributive property
a(5) - a(x) = bx - 8
5a - ax = bx - 8
Subtract 5a from both sides of the equation:
5a - ax - 5a = bx - 8 - 5a
- ax = bx - 8 - 5a
Subtract both sides by bx
- ax - bx = bx - 8 - 5a - bx
-ax - bx = -8 - 5a
Factor out x from the left hand side of the equation
x(-a - b) = -8 - 5a
Divide both sides by (-a - b)
x(-a - b)/(-a - b) = -8 - 5a/(-a - b)
x = 5a + 8/a + b
Thus, the solution to the equation is given as: x = 5a + 8/a + b.
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