3(x-4)-(x-6)=2

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Solution for 3(x-4)-(x-6)=2 equation:


Simplifying
3(x + -4) + -1(x + -6) = 2

Reorder the terms:
3(-4 + x) + -1(x + -6) = 2
(-4 * 3 + x * 3) + -1(x + -6) = 2
(-12 + 3x) + -1(x + -6) = 2

Reorder the terms:
-12 + 3x + -1(-6 + x) = 2
-12 + 3x + (-6 * -1 + x * -1) = 2
-12 + 3x + (6 + -1x) = 2

Reorder the terms:
-12 + 6 + 3x + -1x = 2

Combine like terms: -12 + 6 = -6
-6 + 3x + -1x = 2

Combine like terms: 3x + -1x = 2x
-6 + 2x = 2

Solving
-6 + 2x = 2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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