s1992285 s1992285
  • 20-05-2021
  • Mathematics
contestada

What is the solution to 3(1-3x)=2(-4x+7)?

Respuesta :

themathexpertise
themathexpertise themathexpertise
  • 20-05-2021

Answer:

x = -11

Step-by-step explanation:

3(1 - 3x) = 2(-4x + 7)

Distribute the 3.

(3 - 9x) = 2(-4x + 7)

Distribute the 2.

3 - 9x = -8x + 14

Add 8x to both sides.

3 - x = 14

Subtract 3 from both sides.

-x = 11

Multiply by -1.

x = -11.

Proof:

3(1 - 3x) = 2(-4x + 7)

3(1 - 3(-11)) = 2(-4(-11) + 7)

3(1 + 33) = 2(44 + 7)

3(34) = 2(51)

102 = 102

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