How do you solve $43 x - 43 = - 42 x - 42$ $43x-43=-42x-42$ ?

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How do you solve $43 x - 43 = - 42 x - 42$ $43x-43=-42x-42$ ?

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Answer 1 · 2017-07-02T14:30:12

See a solution process below:

Explanation:

First, add $43$ $color(red)(43)$ and $42 x$ $color(blue)(42x)$ to each side of the equation to isolate the $x$ $x$ term while keeping the equation balanced:

$42 x + 43 x - 43 + 43 = 42 x - 42 x - 42 + 43$ $color(blue)(42x) + 43x - 43 + color(red)(43) = color(blue)(42x) - 42x - 42 + color(red)(43)$

$(42 + 43) x - 0 = 0 + 1$ $(color(blue)(42) + 43)x - 0 = 0 + 1$

$85 x = 1$ $85x = 1$

Now, divide each side of the equation by $85$ $color(red)(85)$ to solve for $x$ $x$ while keeping the equation balanced:

$\frac{85 x}{85} = \frac{1}{85}$ $(85x)/color(red)(85) = 1/color(red)(85)$

$(color(red)(cancel(color(black)(85)))x)/cancel(color(red)(85)) = 1/85$

$x = 1/85$

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How do you solve $43 x - 43 = - 42 x - 42$ $43x-43=-42x-42$ ?

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