(2x-8)-(4-5x)+(3x-8)=

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Solution for (2x-8)-(4-5x)+(3x-8)= equation:


Simplifying
(2x + -8) + -1(4 + -5x) + (3x + -8) = 0

Reorder the terms:
(-8 + 2x) + -1(4 + -5x) + (3x + -8) = 0

Remove parenthesis around (-8 + 2x)
-8 + 2x + -1(4 + -5x) + (3x + -8) = 0
-8 + 2x + (4 * -1 + -5x * -1) + (3x + -8) = 0
-8 + 2x + (-4 + 5x) + (3x + -8) = 0

Reorder the terms:
-8 + 2x + -4 + 5x + (-8 + 3x) = 0

Remove parenthesis around (-8 + 3x)
-8 + 2x + -4 + 5x + -8 + 3x = 0

Reorder the terms:
-8 + -4 + -8 + 2x + 5x + 3x = 0

Combine like terms: -8 + -4 = -12
-12 + -8 + 2x + 5x + 3x = 0

Combine like terms: -12 + -8 = -20
-20 + 2x + 5x + 3x = 0

Combine like terms: 2x + 5x = 7x
-20 + 7x + 3x = 0

Combine like terms: 7x + 3x = 10x
-20 + 10x = 0

Solving
-20 + 10x = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 10x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 0 + 20
10x = 0 + 20

Combine like terms: 0 + 20 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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