4-x-2=6-5x-20

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Solution for 4-x-2=6-5x-20 equation:


Simplifying
4 + -1x + -2 = 6 + -5x + -20

Reorder the terms:
4 + -2 + -1x = 6 + -5x + -20

Combine like terms: 4 + -2 = 2
2 + -1x = 6 + -5x + -20

Reorder the terms:
2 + -1x = 6 + -20 + -5x

Combine like terms: 6 + -20 = -14
2 + -1x = -14 + -5x

Solving
2 + -1x = -14 + -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.
2 + -1x + 5x = -14 + -5x + 5x

Combine like terms: -1x + 5x = 4x
2 + 4x = -14 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 4x = -14 + 0
2 + 4x = -14

Add '-2' to each side of the equation.
2 + -2 + 4x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -14 + -2
4x = -14 + -2

Combine like terms: -14 + -2 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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