Respuesta :
Answer:
x = -0.6
solving steps:
[tex]\sf \rightarrow 2\left(x+1\right)-4x=3x+5[/tex]
remove the parenthesis
[tex]\sf \rightarrow 2x+2\right)-4x=3x+5[/tex]
group the variables
[tex]\sf \rightarrow 2x-4x-3x\right)=5-2[/tex]
simplify
[tex]\sf \rightarrow -5x\right)=3[/tex]
change sides
[tex]\sf \rightarrow x\right)=\dfrac{3}{-5}[/tex]
answer in fraction
[tex]\sf \rightarrow x\right)=-\dfrac{3}{5}[/tex]
answer in decimals
[tex]\sf \rightarrow x\right)=-0.6[/tex]
Answer:
[tex]x=-0.6[/tex]
Step-by-step explanation:
[tex]2\left(x+1\right)-4x=3x+5\quad :\quad x=-\frac{3}{5}\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)[/tex]
[tex]2\left(x+1\right)-4x=3x+5[/tex]
[tex]2(x+1)-4:-2x+2[/tex]
[tex]-2x+2=3x+5[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+2-2=3x+5-2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x=3x+3[/tex]
[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x-3x=3x+3-3x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-5x=3[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]
[tex]\frac{-5x}{-5}=\frac{3}{-5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{3}{5}[/tex]
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