3(x-4)=-x-4

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


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

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

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

Solving
-12 + 3x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 3x + x = -4 + -1x + x

Combine like terms: 3x + x = 4x
-12 + 4x = -4 + -1x + x

Combine like terms: -1x + x = 0
-12 + 4x = -4 + 0
-12 + 4x = -4

Add '12' to each side of the equation.
-12 + 12 + 4x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -4 + 12
4x = -4 + 12

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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