2(x+2)=6(x-12)

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Solution for 2(x+2)=6(x-12) equation:


Simplifying
2(x + 2) = 6(x + -12)

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

Reorder the terms:
4 + 2x = 6(-12 + x)
4 + 2x = (-12 * 6 + x * 6)
4 + 2x = (-72 + 6x)

Solving
4 + 2x = -72 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 2x + -6x = -72 + 6x + -6x

Combine like terms: 2x + -6x = -4x
4 + -4x = -72 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -4x = -72 + 0
4 + -4x = -72

Add '-4' to each side of the equation.
4 + -4 + -4x = -72 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -72 + -4
-4x = -72 + -4

Combine like terms: -72 + -4 = -76
-4x = -76

Divide each side by '-4'.
x = 19

Simplifying
x = 19

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