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

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Solution for 8+4(y-1)-5(x-3)=2(5-2x) equation:


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

Reorder the terms:
8 + 4(-1 + y) + -5(x + -3) = 2(5 + -2x)
8 + (-1 * 4 + y * 4) + -5(x + -3) = 2(5 + -2x)
8 + (-4 + 4y) + -5(x + -3) = 2(5 + -2x)

Reorder the terms:
8 + -4 + 4y + -5(-3 + x) = 2(5 + -2x)
8 + -4 + 4y + (-3 * -5 + x * -5) = 2(5 + -2x)
8 + -4 + 4y + (15 + -5x) = 2(5 + -2x)

Reorder the terms:
8 + -4 + 15 + -5x + 4y = 2(5 + -2x)

Combine like terms: 8 + -4 = 4
4 + 15 + -5x + 4y = 2(5 + -2x)

Combine like terms: 4 + 15 = 19
19 + -5x + 4y = 2(5 + -2x)
19 + -5x + 4y = (5 * 2 + -2x * 2)
19 + -5x + 4y = (10 + -4x)

Solving
19 + -5x + 4y = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
19 + -5x + 4x + 4y = 10 + -4x + 4x

Combine like terms: -5x + 4x = -1x
19 + -1x + 4y = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
19 + -1x + 4y = 10 + 0
19 + -1x + 4y = 10

Add '-19' to each side of the equation.
19 + -1x + -19 + 4y = 10 + -19

Reorder the terms:
19 + -19 + -1x + 4y = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -1x + 4y = 10 + -19
-1x + 4y = 10 + -19

Combine like terms: 10 + -19 = -9
-1x + 4y = -9

Add '-4y' to each side of the equation.
-1x + 4y + -4y = -9 + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = -9 + -4y
-1x = -9 + -4y

Divide each side by '-1'.
x = 9 + 4y

Simplifying
x = 9 + 4y

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