Respuesta :

Answer:

x = -5/3

Step-by-step explanation:

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

−4x+7x+5=0

Step 1: Simplify both sides of the equation.

−4x+7x+5=0

(−4x+7x)+(5)=0(Combine Like Terms)

3x+5=0

3x+5=0

Step 2: Subtract 5 from both sides.

3x+5−5=0−5

3x=−5

Step 3: Divide both sides by 3.

3x/3 = -5/3

x = -5/3

Answer:

x = -5/3

[tex]\bf{-4x + 7x + 5 = 0}[/tex]

Combine −4x and 7x to get 3x.

  • [tex]\bf{3x + 5 = 0}[/tex]

Subtract 5 from both sides. Any value subtracted from zero results in its negative value.

  • [tex]\bf{3x=-5}[/tex]

Divide both sides by 3.

  • [tex]\bf{x=\dfrac{-5}{3} }[/tex]

The fraction [tex]\bf{\frac{-5}{3} }[/tex] can be written as [tex]\bf{-\frac{5}{3} }[/tex] by removing the negative sign.

  • [tex]\bf{x=-\dfrac{5}{3} \ \ \to \ \ \ Answer }[/tex]

Verification

  1. [tex]\sf{-4\times\dfrac{-5}{3}+7\times\dfrac{-5}{3}+5=0 }[/tex]
  2. [tex]\sf{-\dfrac{4\times-5}{3}+7\times\dfrac{-5}{3}+5=0 }[/tex]
  3. [tex]\sf{-\dfrac{-20}{3}+7\times\dfrac{-5}{3}+5=0 }[/tex]
  4. [tex]\sf{-(-\dfrac{20}{3})+7\times\dfrac{-5}{3}+5=0 }[/tex]
  5. [tex]\sf{-(-\dfrac{20}{3})+\dfrac{7\times-5}{3}+5=0 }[/tex]
  6. [tex]\sf{-(-\dfrac{20}{3})+\dfrac{-35}{3}+5=0 }[/tex]
  7. [tex]\sf{-(-\dfrac{20}{3})-\dfrac{35}{3}+5=0 }[/tex]
  8. [tex]\sf{\dfrac{20}{3}-\dfrac{35}{3}+5=0 }[/tex]  
  9. [tex]\sf{0=0}[/tex]

Checked ✅

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