Question

3(1-5x)=2(3x+1) find the solution set

Answer 1

`\boldsymbol{\sf{3(1-5x)=2(3x+1)}}`

Reorder terms

• 
  `\boldsymbol{\sf{3(-5x+1)=2(3x+1) }}`

Distribute

• 
  `\boldsymbol{\sf{-15x+3=2(3x+1) }}`
• 
  `\boldsymbol{\sf{-15x+3=6x+2 }}`

Subtract 3x from both sides.

• 
  `\boldsymbol{\sf{-15x+3-3=6x+2-3 }}`

Simplify

• 
  `\boldsymbol{\sf{-15x=6x+1}}`

Subtract 6x from both sides.

• 
  `\boldsymbol{\sf{-15x-6x=6x-1-6x }}`

Simplify

• 
  `\boldsymbol{\sf{-21x=-1 }}`

Divide both sides by the same factor

• 
  `\boldsymbol{\sf{(-21x)/(-21)=(-1)/(-21) }}`

Simplify

• 
  `\boxed{\boldsymbol{\sf{x=(1)/(21) }}}`

Answer 2

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