6(x-2)-(7x-12)=14

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Solution for 6(x-2)-(7x-12)=14 equation:


Simplifying
6(x + -2) + -1(7x + -12) = 14

Reorder the terms:
6(-2 + x) + -1(7x + -12) = 14
(-2 * 6 + x * 6) + -1(7x + -12) = 14
(-12 + 6x) + -1(7x + -12) = 14

Reorder the terms:
-12 + 6x + -1(-12 + 7x) = 14
-12 + 6x + (-12 * -1 + 7x * -1) = 14
-12 + 6x + (12 + -7x) = 14

Reorder the terms:
-12 + 12 + 6x + -7x = 14

Combine like terms: -12 + 12 = 0
0 + 6x + -7x = 14
6x + -7x = 14

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

Solving
-1x = 14

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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