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

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


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

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

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

Combine like terms: 2x + 4x = 6x
-1 + 5x + 2y = -2 + 6x

Solving
-1 + 5x + 2y = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 5x + -6x + 2y = -2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-1 + -1x + 2y = -2 + 0
-1 + -1x + 2y = -2

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

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

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

Combine like terms: -2 + 1 = -1
-1x + 2y = -1

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

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

Divide each side by '-1'.
x = 1 + 2y

Simplifying
x = 1 + 2y

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