(4x-6)+(x+6y)=90

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Solution for (4x-6)+(x+6y)=90 equation:


Simplifying
(4x + -6) + (x + 6y) = 90

Reorder the terms:
(-6 + 4x) + (x + 6y) = 90

Remove parenthesis around (-6 + 4x)
-6 + 4x + (x + 6y) = 90

Remove parenthesis around (x + 6y)
-6 + 4x + x + 6y = 90

Combine like terms: 4x + x = 5x
-6 + 5x + 6y = 90

Solving
-6 + 5x + 6y = 90

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 5x + 6 + 6y = 90 + 6

Reorder the terms:
-6 + 6 + 5x + 6y = 90 + 6

Combine like terms: -6 + 6 = 0
0 + 5x + 6y = 90 + 6
5x + 6y = 90 + 6

Combine like terms: 90 + 6 = 96
5x + 6y = 96

Add '-6y' to each side of the equation.
5x + 6y + -6y = 96 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 96 + -6y
5x = 96 + -6y

Divide each side by '5'.
x = 19.2 + -1.2y

Simplifying
x = 19.2 + -1.2y

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