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-1/4(x+1 2/3)=-2 1/5​

-1/4(x+1 2/3)=-2 1/5​-example-1

2 Answers

6 votes

Answer:

The answer is x= 7 2/15. So the third one.

Explanation:

Hopefully, this was helpful. :)

User Gareth McCaughan
by
7.9k points
5 votes

Answer:

x=\frac{64}{5}=12\frac{4}{5}

Explanation:

1. Simplify the expression

\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}

Multiply the fractions:

\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}

Expand the parentheses:

\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}

Break up the fraction:

\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}

Find the greatest common factor of the numerator and denominator:

\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}

Factor out and cancel the greatest common factor:

\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}

User Alexander Neumann
by
8.5k points

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