2(x+5)-7+8y+7x+10-11y+3(2y-5)=16

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Solution for 2(x+5)-7+8y+7x+10-11y+3(2y-5)=16 equation: 


Simplifying
2(x + 5) + -7 + 8y + 7x + 10 + -11y + 3(2y + -5) = 16

Reorder the terms:
2(5 + x) + -7 + 8y + 7x + 10 + -11y + 3(2y + -5) = 16
(5 * 2 + x * 2) + -7 + 8y + 7x + 10 + -11y + 3(2y + -5) = 16
(10 + 2x) + -7 + 8y + 7x + 10 + -11y + 3(2y + -5) = 16

Reorder the terms:
10 + 2x + -7 + 8y + 7x + 10 + -11y + 3(-5 + 2y) = 16
10 + 2x + -7 + 8y + 7x + 10 + -11y + (-5 * 3 + 2y * 3) = 16
10 + 2x + -7 + 8y + 7x + 10 + -11y + (-15 + 6y) = 16

Reorder the terms:
10 + -7 + 10 + -15 + 2x + 7x + 8y + -11y + 6y = 16

Combine like terms: 10 + -7 = 3
3 + 10 + -15 + 2x + 7x + 8y + -11y + 6y = 16

Combine like terms: 3 + 10 = 13
13 + -15 + 2x + 7x + 8y + -11y + 6y = 16

Combine like terms: 13 + -15 = -2
-2 + 2x + 7x + 8y + -11y + 6y = 16

Combine like terms: 2x + 7x = 9x
-2 + 9x + 8y + -11y + 6y = 16

Combine like terms: 8y + -11y = -3y
-2 + 9x + -3y + 6y = 16

Combine like terms: -3y + 6y = 3y
-2 + 9x + 3y = 16

Solving
-2 + 9x + 3y = 16

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 9x + 2 + 3y = 16 + 2

Reorder the terms:
-2 + 2 + 9x + 3y = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 9x + 3y = 16 + 2
9x + 3y = 16 + 2

Combine like terms: 16 + 2 = 18
9x + 3y = 18

Add '-3y' to each side of the equation.
9x + 3y + -3y = 18 + -3y

Combine like terms: 3y + -3y = 0
9x + 0 = 18 + -3y
9x = 18 + -3y

Divide each side by '9'.
x = 2 + -0.3333333333y

Simplifying
x = 2 + -0.3333333333y

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