(2x+3y-4)-(5x+2)=0

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Solution for (2x+3y-4)-(5x+2)=0 equation:


Simplifying
(2x + 3y + -4) + -1(5x + 2) = 0

Reorder the terms:
(-4 + 2x + 3y) + -1(5x + 2) = 0

Remove parenthesis around (-4 + 2x + 3y)
-4 + 2x + 3y + -1(5x + 2) = 0

Reorder the terms:
-4 + 2x + 3y + -1(2 + 5x) = 0
-4 + 2x + 3y + (2 * -1 + 5x * -1) = 0
-4 + 2x + 3y + (-2 + -5x) = 0

Reorder the terms:
-4 + -2 + 2x + -5x + 3y = 0

Combine like terms: -4 + -2 = -6
-6 + 2x + -5x + 3y = 0

Combine like terms: 2x + -5x = -3x
-6 + -3x + 3y = 0

Solving
-6 + -3x + 3y = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + -3x + 6 + 3y = 0 + 6

Reorder the terms:
-6 + 6 + -3x + 3y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x + 3y = 0 + 6
-3x + 3y = 0 + 6

Combine like terms: 0 + 6 = 6
-3x + 3y = 6

Add '-3y' to each side of the equation.
-3x + 3y + -3y = 6 + -3y

Combine like terms: 3y + -3y = 0
-3x + 0 = 6 + -3y
-3x = 6 + -3y

Divide each side by '-3'.
x = -2 + y

Simplifying
x = -2 + y

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