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

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Solution for (3x-8)+(2x+5)-(4x-8)=0 equation:


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

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

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

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

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

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

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

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

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

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

Combine like terms: 5x + -4x = 1x
5 + 1x = 0

Solving
5 + 1x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 0 + -5
1x = 0 + -5

Combine like terms: 0 + -5 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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