Respuesta :

Space

Answer:

[tex]x=-155/6[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]

Step 2: Solve for x

  1. Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]
  2. Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]
  3. Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]
  4. Distribute: [tex]4x-140=10x+15[/tex]
  5. Subtract 4x on both sides: [tex]-140=6x+15[/tex]
  6. Subtract 15 on both sides: [tex]-155=6x[/tex]
  7. Divide both sides by 6: [tex]-155/6 = x[/tex]
  8. Rewrite: [tex]x=-155/6[/tex]

Answer:

x = -25.83333333

or as a fraction

-155/6

Step-by-step explanation:

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