SOLUTION: Find the approximate solution to the equation. 5x + 3 = 2x - 6 (If necessary, please round your answer to 4 decimal

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Question 453080: Find the approximate solution to the equation.
5x + 3 = 2x - 6
(If necessary, please round your answer to 4 decimal

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Next time, you should write your expression as:
5^(x+3) = 2(x-6)
log(5) * (x+3) = log(2) * (x-6)
xlog(5) + 3log(5) = xlog(2) - 6log(2)
xlog(5) - xlog(2) = -6log(2) - 3log(5)
x(log(5) - log(2)) = -6log(2) - 3log(5)
x = (-6log(2) - 3log(5)) / (log(5) - log(2))
x = (-3.9) / (.40)
x = -9.76