How do you solve $4 (x + 0.5) = 2 (x - 1.5)$ $4(x + 0.5) = 2(x - 1.5)$ ?

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How do you solve $4 (x + 0.5) = 2 (x - 1.5)$ $4(x + 0.5) = 2(x - 1.5)$ ?

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Answer 1 · 2017-02-10T12:01:50

See the entire solution process below:

Explanation:

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

$(4 \times x) + (4 \times 0.5) = (2 \times x) - (2 1.5)$ $(4 xx x) + (4 xx 0.5) = (2 xx x) - (2 1.5)$

$4 x + 2 = 2 x - 3$ $4x + 2 = 2x - 3$

Next, subtract $2$ $color(red)(2)$ and $2 x$ $color(blue)(2x)$ from each side of the equation to isolate the $x$ $x$ term while keeping the equation balanced:

$4 x + 2 - 2 - 2 x = 2 x - 3 - 2 - 2 x$ $4x + 2 - color(red)(2) - color(blue)(2x) = 2x - 3 - color(red)(2) - color(blue)(2x)$

$4 x - 2 x + 2 - 2 = 2 x - 2 x - 3 - 2$ $4x - color(blue)(2x) + 2 - color(red)(2) = 2x - color(blue)(2x) - 3 - color(red)(2)$

$2 x + 0 = 0 - 5$ $2x + 0 = 0 - 5$

$2 x = - 5$ $2x = -5$

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

$\frac{2 x}{2} = - \frac{5}{2}$ $(2x)/color(red)(2) = -5/color(red)(2)$

$(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = -2.5$

$x -2.5$

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How do you solve $4 (x + 0.5) = 2 (x - 1.5)$ $4(x + 0.5) = 2(x - 1.5)$ ?

1 Answer

Explanation:

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How do you solve 4(x + 0.5) = 2(x - 1.5) 4(x+0.5)=2(x−1.5)4(x + 0.5) = 2(x - 1.5) ?

1 Answer

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How do you solve $4 (x + 0.5) = 2 (x - 1.5)$ $4(x + 0.5) = 2(x - 1.5)$ ?