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3 years ago

(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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