(2-3x)*5+(8-y)*(-4)=0

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Solution for (2-3x)*5+(8-y)*(-4)=0 equation:


Simplifying
(2 + -3x) * 5 + (8 + -1y)(-4) = 0

Reorder the terms for easier multiplication:
5(2 + -3x) + (8 + -1y)(-4) = 0
(2 * 5 + -3x * 5) + (8 + -1y)(-4) = 0
(10 + -15x) + (8 + -1y)(-4) = 0

Reorder the terms for easier multiplication:
10 + -15x + -4(8 + -1y) = 0
10 + -15x + (8 * -4 + -1y * -4) = 0
10 + -15x + (-32 + 4y) = 0

Reorder the terms:
10 + -32 + -15x + 4y = 0

Combine like terms: 10 + -32 = -22
-22 + -15x + 4y = 0

Solving
-22 + -15x + 4y = 0

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + -15x + 22 + 4y = 0 + 22

Reorder the terms:
-22 + 22 + -15x + 4y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -15x + 4y = 0 + 22
-15x + 4y = 0 + 22

Combine like terms: 0 + 22 = 22
-15x + 4y = 22

Add '-4y' to each side of the equation.
-15x + 4y + -4y = 22 + -4y

Combine like terms: 4y + -4y = 0
-15x + 0 = 22 + -4y
-15x = 22 + -4y

Divide each side by '-15'.
x = -1.466666667 + 0.2666666667y

Simplifying
x = -1.466666667 + 0.2666666667y

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