(x-4)-(2x-12)=3

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Solution for (x-4)-(2x-12)=3 equation:


Simplifying
(x + -4) + -1(2x + -12) = 3

Reorder the terms:
(-4 + x) + -1(2x + -12) = 3

Remove parenthesis around (-4 + x)
-4 + x + -1(2x + -12) = 3

Reorder the terms:
-4 + x + -1(-12 + 2x) = 3
-4 + x + (-12 * -1 + 2x * -1) = 3
-4 + x + (12 + -2x) = 3

Reorder the terms:
-4 + 12 + x + -2x = 3

Combine like terms: -4 + 12 = 8
8 + x + -2x = 3

Combine like terms: x + -2x = -1x
8 + -1x = 3

Solving
8 + -1x = 3

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 3 + -8
-1x = 3 + -8

Combine like terms: 3 + -8 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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