How do you solve $9x+4=6x+8$ ?

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Answer 1 · 2017-03-01T18:17:53

See the entire solution process below:

First, subtract $color(red)(4)$ and $color(blue)(6x)$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$9x + 4 - color(red)(4) - color(blue)(6x) = 6x + 8 - color(red)(4) - color(blue)(6x)$

$9x - color(blue)(6x) + 4 - color(red)(4) = 6x - color(blue)(6x) + 8 - color(red)(4)$

$3x + 0 = 0 + 4$

$3x = 4$

Now, divide each side of the equation by $color(red)(3)$ to solve for $x$ while keeping the equation balanced:

$(3x)/color(red)(3) = 4/color(red)(3)$

$(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) = 4/3$

$x = 4/3$

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