x+2=3(x-4)

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


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

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

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

Solving
2 + x = -12 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
2 + -2x = -12 + 0
2 + -2x = -12

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

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

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

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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