14x+3y+7=23x-2y-1

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Solution for 14x+3y+7=23x-2y-1 equation:


Simplifying
14x + 3y + 7 = 23x + -2y + -1

Reorder the terms:
7 + 14x + 3y = 23x + -2y + -1

Reorder the terms:
7 + 14x + 3y = -1 + 23x + -2y

Solving
7 + 14x + 3y = -1 + 23x + -2y

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
7 + 14x + -23x + 3y = -1 + 23x + -23x + -2y

Combine like terms: 14x + -23x = -9x
7 + -9x + 3y = -1 + 23x + -23x + -2y

Combine like terms: 23x + -23x = 0
7 + -9x + 3y = -1 + 0 + -2y
7 + -9x + 3y = -1 + -2y

Add '-7' to each side of the equation.
7 + -9x + -7 + 3y = -1 + -7 + -2y

Reorder the terms:
7 + -7 + -9x + 3y = -1 + -7 + -2y

Combine like terms: 7 + -7 = 0
0 + -9x + 3y = -1 + -7 + -2y
-9x + 3y = -1 + -7 + -2y

Combine like terms: -1 + -7 = -8
-9x + 3y = -8 + -2y

Add '-3y' to each side of the equation.
-9x + 3y + -3y = -8 + -2y + -3y

Combine like terms: 3y + -3y = 0
-9x + 0 = -8 + -2y + -3y
-9x = -8 + -2y + -3y

Combine like terms: -2y + -3y = -5y
-9x = -8 + -5y

Divide each side by '-9'.
x = 0.8888888889 + 0.5555555556y

Simplifying
x = 0.8888888889 + 0.5555555556y

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