6x-2-x=21-3x-7

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Solution for 6x-2-x=21-3x-7 equation:


Simplifying
6x + -2 + -1x = 21 + -3x + -7

Reorder the terms:
-2 + 6x + -1x = 21 + -3x + -7

Combine like terms: 6x + -1x = 5x
-2 + 5x = 21 + -3x + -7

Reorder the terms:
-2 + 5x = 21 + -7 + -3x

Combine like terms: 21 + -7 = 14
-2 + 5x = 14 + -3x

Solving
-2 + 5x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 5x + 3x = 14 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-2 + 8x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 8x = 14 + 0
-2 + 8x = 14

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

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

Combine like terms: 14 + 2 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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