5x+7(x-5)-3(y-5)=

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Solution for 5x+7(x-5)-3(y-5)= equation: 


Simplifying
5x + 7(x + -5) + -3(y + -5) = 0

Reorder the terms:
5x + 7(-5 + x) + -3(y + -5) = 0
5x + (-5 * 7 + x * 7) + -3(y + -5) = 0
5x + (-35 + 7x) + -3(y + -5) = 0

Reorder the terms:
5x + -35 + 7x + -3(-5 + y) = 0
5x + -35 + 7x + (-5 * -3 + y * -3) = 0
5x + -35 + 7x + (15 + -3y) = 0

Reorder the terms:
-35 + 15 + 5x + 7x + -3y = 0

Combine like terms: -35 + 15 = -20
-20 + 5x + 7x + -3y = 0

Combine like terms: 5x + 7x = 12x
-20 + 12x + -3y = 0

Solving
-20 + 12x + -3y = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 12x + 20 + -3y = 0 + 20

Reorder the terms:
-20 + 20 + 12x + -3y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 12x + -3y = 0 + 20
12x + -3y = 0 + 20

Combine like terms: 0 + 20 = 20
12x + -3y = 20

Add '3y' to each side of the equation.
12x + -3y + 3y = 20 + 3y

Combine like terms: -3y + 3y = 0
12x + 0 = 20 + 3y
12x = 20 + 3y

Divide each side by '12'.
x = 1.666666667 + 0.25y

Simplifying
x = 1.666666667 + 0.25y

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