5-6(x-2)=x-14

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Solution for 5-6(x-2)=x-14 equation:


Simplifying
5 + -6(x + -2) = x + -14

Reorder the terms:
5 + -6(-2 + x) = x + -14
5 + (-2 * -6 + x * -6) = x + -14
5 + (12 + -6x) = x + -14

Combine like terms: 5 + 12 = 17
17 + -6x = x + -14

Reorder the terms:
17 + -6x = -14 + x

Solving
17 + -6x = -14 + 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.
17 + -6x + -1x = -14 + x + -1x

Combine like terms: -6x + -1x = -7x
17 + -7x = -14 + x + -1x

Combine like terms: x + -1x = 0
17 + -7x = -14 + 0
17 + -7x = -14

Add '-17' to each side of the equation.
17 + -17 + -7x = -14 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -14 + -17
-7x = -14 + -17

Combine like terms: -14 + -17 = -31
-7x = -31

Divide each side by '-7'.
x = 4.428571429

Simplifying
x = 4.428571429

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