Respuesta :

intelligentsmartcook

Answer:

1/21

Step-by-Step Explanation:

Let's solve your equation step-by-step.

3(1−5x)=2(3x+1)

Step 1: Simplify both sides of the equation.

3(1−5x)=2(3x+1)

(3)(1)+(3)(−5x)=(2)(3x)+(2)(1)(Distribute)

3+−15x=6x+2

−15x+3=6x+2

Step 2: Subtract 6x from both sides.

−15x+3−6x=6x+2−6x

−21x+3=2

Step 3: Subtract 3 from both sides.

−21x+3−3=2−3

−21x=−1

Step 4: Divide both sides by -21.

-21x/-21=-1/-21

x=1/21

[tex]\boldsymbol{\sf{3(1-5x)=2(3x+1)}}[/tex]

Reorder terms

  • [tex]\boldsymbol{\sf{3(-5x+1)=2(3x+1) }}[/tex]

Distribute

  • [tex]\boldsymbol{\sf{-15x+3=2(3x+1) }}[/tex]
  • [tex]\boldsymbol{\sf{-15x+3=6x+2 }}[/tex]

Subtract 3x from both sides.

  • [tex]\boldsymbol{\sf{-15x+3-3=6x+2-3 }}[/tex]

Simplify

  • [tex]\boldsymbol{\sf{-15x=6x+1}}[/tex]

Subtract 6x from both sides.

  • [tex]\boldsymbol{\sf{-15x-6x=6x-1-6x }}[/tex]

Simplify

  • [tex]\boldsymbol{\sf{-21x=-1 }}[/tex]

Divide both sides by the same factor

  • [tex]\boldsymbol{\sf{\dfrac{-21x}{-21}=\dfrac{-1}{-21} }}[/tex]

Simplify

  • [tex]\boxed{\boldsymbol{\sf{x=\frac{1}{21} }}}[/tex]

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