2x-6+3x-2=8x-20

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Solution for 2x-6+3x-2=8x-20 equation: 


Simplifying
2x + -6 + 3x + -2 = 8x + -20

Reorder the terms:
-6 + -2 + 2x + 3x = 8x + -20

Combine like terms: -6 + -2 = -8
-8 + 2x + 3x = 8x + -20

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

Reorder the terms:
-8 + 5x = -20 + 8x

Solving
-8 + 5x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-8 + 5x + -8x = -20 + 8x + -8x

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

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

Add '8' to each side of the equation.
-8 + 8 + -3x = -20 + 8

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

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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