How do you solve $-6(4x+1)=5-11x$ ?

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Answer 1 · 2017-02-11T12:34:20

See the entire solution process below:

First, expand the terms in parenthesis on the left side of the equation:

$(-6 xx 4x) + (-6 xx 1) = 5 - 11x$

$-24x - 6 = 5 - 11x$

Next, add $color(red)(24x)$ and subtract $color(blue)(5)$ from each side of the equation to isolate the $x$ term.

$-24x - 6 + color(red)(24x) - color(blue)(5) = 5 - 11x + color(red)(24x) - color(blue)(5)$

$-24x + color(red)(24x) - 6 - color(blue)(5) = 5 - color(blue)(5) - 11x + color(red)(24x)$

$0 - 11 = 0 + 13x$

$-11 = 13x$

Now, divide each side of the equation by $color(red)(13)$ to solve for $x$ while keeping the equation balanced:

$-11/color(red)(13) = (13x)/color(red)(13)$

$-11/13 = (color(red)(cancel(color(black)(13)))x)/cancel(color(red)(13))$

$-11/13 = x$

$x = -11/13$

How do you solve -6(4x+1)=5-11x-6(4x+1)=5-11x?