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

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


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

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

Reorder the terms:
-12 + 2x = 4(4 + x)
-12 + 2x = (4 * 4 + x * 4)
-12 + 2x = (16 + 4x)

Solving
-12 + 2x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 2x + -4x = 16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-12 + -2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -2x = 16 + 0
-12 + -2x = 16

Add '12' to each side of the equation.
-12 + 12 + -2x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 16 + 12
-2x = 16 + 12

Combine like terms: 16 + 12 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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