Respuesta :
Answer:
[tex]\boxed{\bold{Decimal \ Form: \ x \ = \ -0.125}}[/tex]
[tex]\boxed{\bold{Fraction \ Form:x=-\frac{1}{8}}}[/tex]
Step By Step Explanation:
Apply Fraction Cross Multiply: If [tex]\bold{\frac{a}{b}=\frac{c}{d}:then\ a\cdot \:d=b\cdot \:c}[/tex]
[tex]\bold{\left(2x+1\right)\cdot \:5=2\left(x+2\right)}[/tex]
[tex]\bold{\left(2x+1\right)\cdot \:5: \ 10x+5}[/tex]
[tex]\bold{2\left(x+2\right): \ 2x+4}[/tex]
[tex]\bold{10x+5=2x+4}[/tex]
Subtract 4 From Both Sides
[tex]\bold{10x+5-5=2x+4-5}[/tex]
Simplify
[tex]\bold{10x=2x-1}[/tex]
Subtract 2x From Both Sides
[tex]\bold{10x-2x=2x-1-2x}[/tex]
Simplify
[tex]\bold{8x=-1}[/tex]
Divide Both Sides By 8
[tex]\bold{\frac{8x}{8}=\frac{-1}{8}}[/tex]
Simplify
[tex]\bold{x=-\frac{1}{8}}[/tex]
Turn Fraction Into Decimal
[tex]\bold{-1 \ \div \ 8 \ = \ -0.125}[/tex]
[tex]\bold{-0.125}[/tex]
Regards,
Mordancy
