How do you solve $5x + 150= 0.5x + 105$ ?

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Answer 1 · 2017-05-06T01:40:11

See a solution process below:

First, subtract $color(red)(150)$ and $color(blue)(0.5x)$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$5x + 150 - color(red)(150) - color(blue)(0.5x) = 0.5x + 105 - color(red)(150) - color(blue)(0.5x)$

$5x - color(blue)(0.5x) + 150 - color(red)(150) = 0.5x - color(blue)(0.5x) + 105 - color(red)(150)$

$(5 - color(blue)(0.5))x + 0 = 0 - 45$

$4.5x = -45$

Now, divide each side of the equation by $color(red)(4.5)$ to solve for $x$ while keeping the equation balanced:

$(4.5x)/color(red)(4.5) = -45/color(red)(4.5)$

$(color(red)(cancel(color(black)(4.5)))x)/cancel(color(red)(4.5)) = -10$

$x = -10$

How do you solve 5x + 150= 0.5x + 1055x + 150= 0.5x + 105?