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

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


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

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

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

Combine like terms: -12 + -2 = -14
-14 + 3x + x = 2

Combine like terms: 3x + x = 4x
-14 + 4x = 2

Solving
-14 + 4x = 2

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 2 + 14
4x = 2 + 14

Combine like terms: 2 + 14 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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