14-3(x-2)=x+6

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Solution for 14-3(x-2)=x+6 equation:


Simplifying
14 + -3(x + -2) = x + 6

Reorder the terms:
14 + -3(-2 + x) = x + 6
14 + (-2 * -3 + x * -3) = x + 6
14 + (6 + -3x) = x + 6

Combine like terms: 14 + 6 = 20
20 + -3x = x + 6

Reorder the terms:
20 + -3x = 6 + x

Solving
20 + -3x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + -3x + -1x = 6 + x + -1x

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

Combine like terms: x + -1x = 0
20 + -4x = 6 + 0
20 + -4x = 6

Add '-20' to each side of the equation.
20 + -20 + -4x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 6 + -20
-4x = 6 + -20

Combine like terms: 6 + -20 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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