4x-5+6y=6-(x+7)-y+25

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Solution for 4x-5+6y=6-(x+7)-y+25 equation:


Simplifying
4x + -5 + 6y = 6 + -1(x + 7) + -1y + 25

Reorder the terms:
-5 + 4x + 6y = 6 + -1(x + 7) + -1y + 25

Reorder the terms:
-5 + 4x + 6y = 6 + -1(7 + x) + -1y + 25
-5 + 4x + 6y = 6 + (7 * -1 + x * -1) + -1y + 25
-5 + 4x + 6y = 6 + (-7 + -1x) + -1y + 25

Reorder the terms:
-5 + 4x + 6y = 6 + -7 + 25 + -1x + -1y

Combine like terms: 6 + -7 = -1
-5 + 4x + 6y = -1 + 25 + -1x + -1y

Combine like terms: -1 + 25 = 24
-5 + 4x + 6y = 24 + -1x + -1y

Solving
-5 + 4x + 6y = 24 + -1x + -1y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 4x + x + 6y = 24 + -1x + x + -1y

Combine like terms: 4x + x = 5x
-5 + 5x + 6y = 24 + -1x + x + -1y

Combine like terms: -1x + x = 0
-5 + 5x + 6y = 24 + 0 + -1y
-5 + 5x + 6y = 24 + -1y

Add '5' to each side of the equation.
-5 + 5x + 5 + 6y = 24 + 5 + -1y

Reorder the terms:
-5 + 5 + 5x + 6y = 24 + 5 + -1y

Combine like terms: -5 + 5 = 0
0 + 5x + 6y = 24 + 5 + -1y
5x + 6y = 24 + 5 + -1y

Combine like terms: 24 + 5 = 29
5x + 6y = 29 + -1y

Add '-6y' to each side of the equation.
5x + 6y + -6y = 29 + -1y + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 29 + -1y + -6y
5x = 29 + -1y + -6y

Combine like terms: -1y + -6y = -7y
5x = 29 + -7y

Divide each side by '5'.
x = 5.8 + -1.4y

Simplifying
x = 5.8 + -1.4y

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