6x-8-3x-6=4x-24-5x+20

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Solution for 6x-8-3x-6=4x-24-5x+20 equation:


Simplifying
6x + -8 + -3x + -6 = 4x + -24 + -5x + 20

Reorder the terms:
-8 + -6 + 6x + -3x = 4x + -24 + -5x + 20

Combine like terms: -8 + -6 = -14
-14 + 6x + -3x = 4x + -24 + -5x + 20

Combine like terms: 6x + -3x = 3x
-14 + 3x = 4x + -24 + -5x + 20

Reorder the terms:
-14 + 3x = -24 + 20 + 4x + -5x

Combine like terms: -24 + 20 = -4
-14 + 3x = -4 + 4x + -5x

Combine like terms: 4x + -5x = -1x
-14 + 3x = -4 + -1x

Solving
-14 + 3x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-14 + 3x + x = -4 + -1x + x

Combine like terms: 3x + x = 4x
-14 + 4x = -4 + -1x + x

Combine like terms: -1x + x = 0
-14 + 4x = -4 + 0
-14 + 4x = -4

Add '14' to each side of the equation.
-14 + 14 + 4x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -4 + 14
4x = -4 + 14

Combine like terms: -4 + 14 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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