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ELEN [110]
3 years ago
10

(2x+1)/2=(x+2)/5if possible can you show me step by step how to get the answer ​

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

\boxed{\bold{Decimal \ Form: \ x \ = \ -0.125}}

\boxed{\bold{Fraction \ Form:x=-\frac{1}{8}}}

Step By Step Explanation:

Apply Fraction Cross Multiply: If \bold{\frac{a}{b}=\frac{c}{d}:then\ a\cdot \:d=b\cdot \:c}

\bold{\left(2x+1\right)\cdot \:5=2\left(x+2\right)}

\bold{\left(2x+1\right)\cdot \:5: \ 10x+5}

\bold{2\left(x+2\right): \ 2x+4}

\bold{10x+5=2x+4}

Subtract 4 From Both Sides

\bold{10x+5-5=2x+4-5}

Simplify

\bold{10x=2x-1}

Subtract 2x From Both Sides

\bold{10x-2x=2x-1-2x}

Simplify

\bold{8x=-1}

Divide Both Sides By 8

\bold{\frac{8x}{8}=\frac{-1}{8}}

Simplify

\bold{x=-\frac{1}{8}}

Turn Fraction Into Decimal

\bold{-1 \ \div \ 8 \ = \ -0.125}

\bold{-0.125}

Regards,

   Mordancy

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