5x-1+1x+15=6+5x+14-21

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Solution for 5x-1+1x+15=6+5x+14-21 equation:


Simplifying
5x + -1 + 1x + 15 = 6 + 5x + 14 + -21

Reorder the terms:
-1 + 15 + 5x + 1x = 6 + 5x + 14 + -21

Combine like terms: -1 + 15 = 14
14 + 5x + 1x = 6 + 5x + 14 + -21

Combine like terms: 5x + 1x = 6x
14 + 6x = 6 + 5x + 14 + -21

Reorder the terms:
14 + 6x = 6 + 14 + -21 + 5x

Combine like terms: 6 + 14 = 20
14 + 6x = 20 + -21 + 5x

Combine like terms: 20 + -21 = -1
14 + 6x = -1 + 5x

Solving
14 + 6x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 6x + -5x = -1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
14 + 1x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + 1x = -1 + 0
14 + 1x = -1

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

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

Combine like terms: -1 + -14 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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