How do you solve $7x - 5x - 7+ 6x - 18= 3x$ ?

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Answer 1 · 2017-08-07T17:29:21

See a solution process below:

First, group and combine like terms on the left side of the equation:

$7x - 5x + 6x - 7 - 18 = 3x$

$(7 - 5 + 6)x + (-7 - 18) = 3x$

$8x + (-25) = 3x$

$8x - 25 = 3x$

Next, add $color(red)(25)$ and subtract $color(blue)(3x)$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$-color(blue)(3x) + 8x - 25 + color(red)(25) = -color(blue)(3x) + 3x + color(red)(25)$

$(-color(blue)(3) + 8)x - 0 = 0 + 25$

$5x = 25$

Now, divide each side of the equation by $color(red)(5)$ to solve for $x$ while keeping the equation balanced:

$(5x)/color(red)(5) = 25/color(red)(5)$

$(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 5$

$x = 5$

How do you solve 7x - 5x - 7+ 6x - 18= 3x7x - 5x - 7+ 6x - 18= 3x?