9x+(8y+7)=(7x+10)+(10y-25)

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Solution for 9x+(8y+7)=(7x+10)+(10y-25) equation:


Simplifying
9x + (8y + 7) = (7x + 10) + (10y + -25)

Reorder the terms:
9x + (7 + 8y) = (7x + 10) + (10y + -25)

Remove parenthesis around (7 + 8y)
9x + 7 + 8y = (7x + 10) + (10y + -25)

Reorder the terms:
7 + 9x + 8y = (7x + 10) + (10y + -25)

Reorder the terms:
7 + 9x + 8y = (10 + 7x) + (10y + -25)

Remove parenthesis around (10 + 7x)
7 + 9x + 8y = 10 + 7x + (10y + -25)

Reorder the terms:
7 + 9x + 8y = 10 + 7x + (-25 + 10y)

Remove parenthesis around (-25 + 10y)
7 + 9x + 8y = 10 + 7x + -25 + 10y

Reorder the terms:
7 + 9x + 8y = 10 + -25 + 7x + 10y

Combine like terms: 10 + -25 = -15
7 + 9x + 8y = -15 + 7x + 10y

Solving
7 + 9x + 8y = -15 + 7x + 10y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + 9x + -7x + 8y = -15 + 7x + -7x + 10y

Combine like terms: 9x + -7x = 2x
7 + 2x + 8y = -15 + 7x + -7x + 10y

Combine like terms: 7x + -7x = 0
7 + 2x + 8y = -15 + 0 + 10y
7 + 2x + 8y = -15 + 10y

Add '-7' to each side of the equation.
7 + 2x + -7 + 8y = -15 + -7 + 10y

Reorder the terms:
7 + -7 + 2x + 8y = -15 + -7 + 10y

Combine like terms: 7 + -7 = 0
0 + 2x + 8y = -15 + -7 + 10y
2x + 8y = -15 + -7 + 10y

Combine like terms: -15 + -7 = -22
2x + 8y = -22 + 10y

Add '-8y' to each side of the equation.
2x + 8y + -8y = -22 + 10y + -8y

Combine like terms: 8y + -8y = 0
2x + 0 = -22 + 10y + -8y
2x = -22 + 10y + -8y

Combine like terms: 10y + -8y = 2y
2x = -22 + 2y

Divide each side by '2'.
x = -11 + y

Simplifying
x = -11 + y

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