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

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


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

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

Reorder the terms:
5x + -4y = 2x + 2(-5 + x) + -2x + 1
5x + -4y = 2x + (-5 * 2 + x * 2) + -2x + 1
5x + -4y = 2x + (-10 + 2x) + -2x + 1

Reorder the terms:
5x + -4y = -10 + 1 + 2x + 2x + -2x

Combine like terms: -10 + 1 = -9
5x + -4y = -9 + 2x + 2x + -2x

Combine like terms: 2x + 2x = 4x
5x + -4y = -9 + 4x + -2x

Combine like terms: 4x + -2x = 2x
5x + -4y = -9 + 2x

Solving
5x + -4y = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5x + -2x + -4y = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x + -4y = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x + -4y = -9 + 0
3x + -4y = -9

Add '4y' to each side of the equation.
3x + -4y + 4y = -9 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = -9 + 4y
3x = -9 + 4y

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

Simplifying
x = -3 + 1.333333333y

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