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

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


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

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

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

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

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

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

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

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

Divide each side by '-3'.
x = -1 + -1.666666667y

Simplifying
x = -1 + -1.666666667y

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