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

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


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

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

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

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

Solving
-12 + 3x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 3x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 1x = 2 + 0
-12 + 1x = 2

Add '12' to each side of the equation.
-12 + 12 + 1x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 2 + 12
1x = 2 + 12

Combine like terms: 2 + 12 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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