How do you solve $-5x + 23+ 7x + 23= 4$ ?

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Answer 1 · 2017-08-01T21:57:32

See a solution process below:

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

$-5x + 7x + 23 + 23 = 4$

$(-5 + 7)x + (23 + 23) = 4$

$2x + 46 = 4$

Next, subtract $color(red)(46)$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$2x + 46 - color(red)(46) = 4 - color(red)(46)$

$2x + 0 = -42$

$2x = -42$

Now, divide each side of the equation by $color(red)(2)$ to solve for $x$ while keeping the equation balanced:

$(2x)/color(red)(2) = -42/color(red)(2)$

$(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = -21$

$x = -21$

How do you solve -5x + 23+ 7x + 23= 4-5x + 23+ 7x + 23= 4?