2x-3=4x+5y

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Solution for 2x-3=4x+5y equation:


Simplifying
2x + -3 = 4x + 5y

Reorder the terms:
-3 + 2x = 4x + 5y

Solving
-3 + 2x = 4x + 5y

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.
-3 + 2x + -4x = 4x + -4x + 5y

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

Combine like terms: 4x + -4x = 0
-3 + -2x = 0 + 5y
-3 + -2x = 5y

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

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

Divide each side by '-2'.
x = -1.5 + -2.5y

Simplifying
x = -1.5 + -2.5y

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