6-2X=4(X-5)+14

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Solution for 6-2X=4(X-5)+14 equation:


Simplifying
6 + -2X = 4(X + -5) + 14

Reorder the terms:
6 + -2X = 4(-5 + X) + 14
6 + -2X = (-5 * 4 + X * 4) + 14
6 + -2X = (-20 + 4X) + 14

Reorder the terms:
6 + -2X = -20 + 14 + 4X

Combine like terms: -20 + 14 = -6
6 + -2X = -6 + 4X

Solving
6 + -2X = -6 + 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.
6 + -2X + -4X = -6 + 4X + -4X

Combine like terms: -2X + -4X = -6X
6 + -6X = -6 + 4X + -4X

Combine like terms: 4X + -4X = 0
6 + -6X = -6 + 0
6 + -6X = -6

Add '-6' to each side of the equation.
6 + -6 + -6X = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -6X = -6 + -6
-6X = -6 + -6

Combine like terms: -6 + -6 = -12
-6X = -12

Divide each side by '-6'.
X = 2

Simplifying
X = 2

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