9x+4y+3=10y+4x-1

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Solution for 9x+4y+3=10y+4x-1 equation:


Simplifying
9x + 4y + 3 = 10y + 4x + -1

Reorder the terms:
3 + 9x + 4y = 10y + 4x + -1

Reorder the terms:
3 + 9x + 4y = -1 + 4x + 10y

Solving
3 + 9x + 4y = -1 + 4x + 10y

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 + 9x + -4x + 4y = -1 + 4x + -4x + 10y

Combine like terms: 9x + -4x = 5x
3 + 5x + 4y = -1 + 4x + -4x + 10y

Combine like terms: 4x + -4x = 0
3 + 5x + 4y = -1 + 0 + 10y
3 + 5x + 4y = -1 + 10y

Add '-3' to each side of the equation.
3 + 5x + -3 + 4y = -1 + -3 + 10y

Reorder the terms:
3 + -3 + 5x + 4y = -1 + -3 + 10y

Combine like terms: 3 + -3 = 0
0 + 5x + 4y = -1 + -3 + 10y
5x + 4y = -1 + -3 + 10y

Combine like terms: -1 + -3 = -4
5x + 4y = -4 + 10y

Add '-4y' to each side of the equation.
5x + 4y + -4y = -4 + 10y + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = -4 + 10y + -4y
5x = -4 + 10y + -4y

Combine like terms: 10y + -4y = 6y
5x = -4 + 6y

Divide each side by '5'.
x = -0.8 + 1.2y

Simplifying
x = -0.8 + 1.2y

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