monicassblade monicassblade
  • 16-12-2020
  • Mathematics
contestada

What is the solution to -(4x-3) = -7(9+x) ???

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 19-12-2020

Answer:

The solution is -22

Step-by-step explanation:

The solution of an equation is the value of the variable of the equation

∵ -(4x - 3) = -7(9 + x)

→ Simplify each side

∵ -(4x) - -(3) = -7(9) + -7(x)

∴ (-4x) - (-3) = -63 + (-7x)

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -4x + 3 = -63 - 7x

→ Add 7x to both sides

∴ -4x + 7x + 3 = -63 - 7x + 7x

∴ 3x + 3 = -63

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = -63 - 3

∴ 3x = -66

→ Divide both sides by 3

∴ x = -22

∴ The solution is -22

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