Question

(2x+1)/2=(x+2)/5

if possible can you show me step by step how to get the answer
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Answer 1

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

`\boxed{\bold{Fraction \ Form:x=-(1)/(8)}}`

Step By Step Explanation:

Apply Fraction Cross Multiply: If
`\bold{(a)/(b)=(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{(8x)/(8)=(-1)/(8)}`

Simplify

`\bold{x=-(1)/(8)}`

Turn Fraction Into Decimal

`\bold{-1 \ / \ 8 \ = \ -0.125}`

`\bold{-0.125}`

Regards,

Mordancy