7x-9y=25+4(y-3x)

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Solution for 7x-9y=25+4(y-3x) equation:


Simplifying
7x + -9y = 25 + 4(y + -3x)

Reorder the terms:
7x + -9y = 25 + 4(-3x + y)
7x + -9y = 25 + (-3x * 4 + y * 4)
7x + -9y = 25 + (-12x + 4y)

Solving
7x + -9y = 25 + -12x + 4y

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
7x + 12x + -9y = 25 + -12x + 12x + 4y

Combine like terms: 7x + 12x = 19x
19x + -9y = 25 + -12x + 12x + 4y

Combine like terms: -12x + 12x = 0
19x + -9y = 25 + 0 + 4y
19x + -9y = 25 + 4y

Add '9y' to each side of the equation.
19x + -9y + 9y = 25 + 4y + 9y

Combine like terms: -9y + 9y = 0
19x + 0 = 25 + 4y + 9y
19x = 25 + 4y + 9y

Combine like terms: 4y + 9y = 13y
19x = 25 + 13y

Divide each side by '19'.
x = 1.315789474 + 0.6842105263y

Simplifying
x = 1.315789474 + 0.6842105263y

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