14x-6+3x=8x-20+4x-1

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Solution for 14x-6+3x=8x-20+4x-1 equation:


Simplifying
14x + -6 + 3x = 8x + -20 + 4x + -1

Reorder the terms:
-6 + 14x + 3x = 8x + -20 + 4x + -1

Combine like terms: 14x + 3x = 17x
-6 + 17x = 8x + -20 + 4x + -1

Reorder the terms:
-6 + 17x = -20 + -1 + 8x + 4x

Combine like terms: -20 + -1 = -21
-6 + 17x = -21 + 8x + 4x

Combine like terms: 8x + 4x = 12x
-6 + 17x = -21 + 12x

Solving
-6 + 17x = -21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 17x + -12x = -21 + 12x + -12x

Combine like terms: 17x + -12x = 5x
-6 + 5x = -21 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + 5x = -21 + 0
-6 + 5x = -21

Add '6' to each side of the equation.
-6 + 6 + 5x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -21 + 6
5x = -21 + 6

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

Divide each side by '5'.
x = -3

Simplifying
x = -3

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