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

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


Simplifying
3x + -4(x + -4) + 5(y + -4) = 0

Reorder the terms:
3x + -4(-4 + x) + 5(y + -4) = 0
3x + (-4 * -4 + x * -4) + 5(y + -4) = 0
3x + (16 + -4x) + 5(y + -4) = 0

Reorder the terms:
3x + 16 + -4x + 5(-4 + y) = 0
3x + 16 + -4x + (-4 * 5 + y * 5) = 0
3x + 16 + -4x + (-20 + 5y) = 0

Reorder the terms:
16 + -20 + 3x + -4x + 5y = 0

Combine like terms: 16 + -20 = -4
-4 + 3x + -4x + 5y = 0

Combine like terms: 3x + -4x = -1x
-4 + -1x + 5y = 0

Solving
-4 + -1x + 5y = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + -1x + 4 + 5y = 0 + 4

Reorder the terms:
-4 + 4 + -1x + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x + 5y = 0 + 4
-1x + 5y = 0 + 4

Combine like terms: 0 + 4 = 4
-1x + 5y = 4

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 4 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 4 + -5y
-1x = 4 + -5y

Divide each side by '-1'.
x = -4 + 5y

Simplifying
x = -4 + 5y

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