2(y-3)-5(x-1)=3

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Solution for 2(y-3)-5(x-1)=3 equation:


Simplifying
2(y + -3) + -5(x + -1) = 3

Reorder the terms:
2(-3 + y) + -5(x + -1) = 3
(-3 * 2 + y * 2) + -5(x + -1) = 3
(-6 + 2y) + -5(x + -1) = 3

Reorder the terms:
-6 + 2y + -5(-1 + x) = 3
-6 + 2y + (-1 * -5 + x * -5) = 3
-6 + 2y + (5 + -5x) = 3

Reorder the terms:
-6 + 5 + -5x + 2y = 3

Combine like terms: -6 + 5 = -1
-1 + -5x + 2y = 3

Solving
-1 + -5x + 2y = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + -5x + 1 + 2y = 3 + 1

Reorder the terms:
-1 + 1 + -5x + 2y = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -5x + 2y = 3 + 1
-5x + 2y = 3 + 1

Combine like terms: 3 + 1 = 4
-5x + 2y = 4

Add '-2y' to each side of the equation.
-5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0
-5x + 0 = 4 + -2y
-5x = 4 + -2y

Divide each side by '-5'.
x = -0.8 + 0.4y

Simplifying
x = -0.8 + 0.4y

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