3x+8=14-2x+1+6x

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Solution for 3x+8=14-2x+1+6x equation:


Simplifying
3x + 8 = 14 + -2x + 1 + 6x

Reorder the terms:
8 + 3x = 14 + -2x + 1 + 6x

Reorder the terms:
8 + 3x = 14 + 1 + -2x + 6x

Combine like terms: 14 + 1 = 15
8 + 3x = 15 + -2x + 6x

Combine like terms: -2x + 6x = 4x
8 + 3x = 15 + 4x

Solving
8 + 3x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 3x + -4x = 15 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = 15 + 0
8 + -1x = 15

Add '-8' to each side of the equation.
8 + -8 + -1x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 15 + -8
-1x = 15 + -8

Combine like terms: 15 + -8 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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