Respuesta :

Answer:

d

Step-by-step explanation:

To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6

3x + 18 = 4x + 6 ← equation with no fractions

Subtract 4x from both sides

- x + 18 = 6 ( subtract 18 from both sides )

- x = - 12 ( multiply both sides by - 1 )

x = 12 → d
  • Answer:

[tex]\boxed{\bold{x=12}}[/tex]

  • Step-by-step explanation:

  • Subtract 3 from both sides

[tex]\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}[/tex]

  • Simplify

[tex]\bold{\frac{1}{2}x=\frac{2}{3}x-2}[/tex]

  • Subtract [tex]\bold{\frac{2}{3}x }[/tex] from both sides

[tex]\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}[/tex]

  • Simplify

[tex]\bold{-\frac{1}{6}x=-2}[/tex]

  • Multiply both sides by -6

[tex]\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}[/tex]

  • Simplify

[tex]\bold{x=12}[/tex]