4(x-5)-5(y+8)=80

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Solution for 4(x-5)-5(y+8)=80 equation:


Simplifying
4(x + -5) + -5(y + 8) = 80

Reorder the terms:
4(-5 + x) + -5(y + 8) = 80
(-5 * 4 + x * 4) + -5(y + 8) = 80
(-20 + 4x) + -5(y + 8) = 80

Reorder the terms:
-20 + 4x + -5(8 + y) = 80
-20 + 4x + (8 * -5 + y * -5) = 80
-20 + 4x + (-40 + -5y) = 80

Reorder the terms:
-20 + -40 + 4x + -5y = 80

Combine like terms: -20 + -40 = -60
-60 + 4x + -5y = 80

Solving
-60 + 4x + -5y = 80

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '60' to each side of the equation.
-60 + 4x + 60 + -5y = 80 + 60

Reorder the terms:
-60 + 60 + 4x + -5y = 80 + 60

Combine like terms: -60 + 60 = 0
0 + 4x + -5y = 80 + 60
4x + -5y = 80 + 60

Combine like terms: 80 + 60 = 140
4x + -5y = 140

Add '5y' to each side of the equation.
4x + -5y + 5y = 140 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 140 + 5y
4x = 140 + 5y

Divide each side by '4'.
x = 35 + 1.25y

Simplifying
x = 35 + 1.25y

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