3x-14-6x+4=22-3x-2-5x

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Solution for 3x-14-6x+4=22-3x-2-5x equation:


Simplifying
3x + -14 + -6x + 4 = 22 + -3x + -2 + -5x

Reorder the terms:
-14 + 4 + 3x + -6x = 22 + -3x + -2 + -5x

Combine like terms: -14 + 4 = -10
-10 + 3x + -6x = 22 + -3x + -2 + -5x

Combine like terms: 3x + -6x = -3x
-10 + -3x = 22 + -3x + -2 + -5x

Reorder the terms:
-10 + -3x = 22 + -2 + -3x + -5x

Combine like terms: 22 + -2 = 20
-10 + -3x = 20 + -3x + -5x

Combine like terms: -3x + -5x = -8x
-10 + -3x = 20 + -8x

Solving
-10 + -3x = 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.
-10 + -3x + 8x = 20 + -8x + 8x

Combine like terms: -3x + 8x = 5x
-10 + 5x = 20 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 5x = 20 + 0
-10 + 5x = 20

Add '10' to each side of the equation.
-10 + 10 + 5x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 20 + 10
5x = 20 + 10

Combine like terms: 20 + 10 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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