[10-7(x-2y)]+9(8x+y)=

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Solution for [10-7(x-2y)]+9(8x+y)= equation:


Simplifying
[10 + -7(x + -2y)] + 9(8x + y) = 0
[10 + (x * -7 + -2y * -7)] + 9(8x + y) = 0
[10 + (-7x + 14y)] + 9(8x + y) = 0

Remove brackets around [10 + -7x + 14y]
10 + -7x + 14y + 9(8x + y) = 0
10 + -7x + 14y + (8x * 9 + y * 9) = 0
10 + -7x + 14y + (72x + 9y) = 0

Reorder the terms:
10 + -7x + 72x + 14y + 9y = 0

Combine like terms: -7x + 72x = 65x
10 + 65x + 14y + 9y = 0

Combine like terms: 14y + 9y = 23y
10 + 65x + 23y = 0

Solving
10 + 65x + 23y = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 65x + -10 + 23y = 0 + -10

Reorder the terms:
10 + -10 + 65x + 23y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 65x + 23y = 0 + -10
65x + 23y = 0 + -10

Combine like terms: 0 + -10 = -10
65x + 23y = -10

Add '-23y' to each side of the equation.
65x + 23y + -23y = -10 + -23y

Combine like terms: 23y + -23y = 0
65x + 0 = -10 + -23y
65x = -10 + -23y

Divide each side by '65'.
x = -0.1538461538 + -0.3538461538y

Simplifying
x = -0.1538461538 + -0.3538461538y

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