3(x-5)=5(y-3)+4

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Solution for 3(x-5)=5(y-3)+4 equation: 


Simplifying
3(x + -5) = 5(y + -3) + 4

Reorder the terms:
3(-5 + x) = 5(y + -3) + 4
(-5 * 3 + x * 3) = 5(y + -3) + 4
(-15 + 3x) = 5(y + -3) + 4

Reorder the terms:
-15 + 3x = 5(-3 + y) + 4
-15 + 3x = (-3 * 5 + y * 5) + 4
-15 + 3x = (-15 + 5y) + 4

Reorder the terms:
-15 + 3x = -15 + 4 + 5y

Combine like terms: -15 + 4 = -11
-15 + 3x = -11 + 5y

Solving
-15 + 3x = -11 + 5y

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = -11 + 15 + 5y

Combine like terms: -15 + 15 = 0
0 + 3x = -11 + 15 + 5y
3x = -11 + 15 + 5y

Combine like terms: -11 + 15 = 4
3x = 4 + 5y

Divide each side by '3'.
x = 1.333333333 + 1.666666667y

Simplifying
x = 1.333333333 + 1.666666667y

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