(4x-8)=(3x+10)+(11x+2y)

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Solution for (4x-8)=(3x+10)+(11x+2y) equation:


Simplifying
(4x + -8) = (3x + 10) + (11x + 2y)

Reorder the terms:
(-8 + 4x) = (3x + 10) + (11x + 2y)

Remove parenthesis around (-8 + 4x)
-8 + 4x = (3x + 10) + (11x + 2y)

Reorder the terms:
-8 + 4x = (10 + 3x) + (11x + 2y)

Remove parenthesis around (10 + 3x)
-8 + 4x = 10 + 3x + (11x + 2y)

Remove parenthesis around (11x + 2y)
-8 + 4x = 10 + 3x + 11x + 2y

Combine like terms: 3x + 11x = 14x
-8 + 4x = 10 + 14x + 2y

Solving
-8 + 4x = 10 + 14x + 2y

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 4x + -14x = 10 + 14x + -14x + 2y

Combine like terms: 4x + -14x = -10x
-8 + -10x = 10 + 14x + -14x + 2y

Combine like terms: 14x + -14x = 0
-8 + -10x = 10 + 0 + 2y
-8 + -10x = 10 + 2y

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

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

Combine like terms: 10 + 8 = 18
-10x = 18 + 2y

Divide each side by '-10'.
x = -1.8 + -0.2y

Simplifying
x = -1.8 + -0.2y

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