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

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


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

Reorder the terms:
4(4 + x) = 6(x + -2)
(4 * 4 + x * 4) = 6(x + -2)
(16 + 4x) = 6(x + -2)

Reorder the terms:
16 + 4x = 6(-2 + x)
16 + 4x = (-2 * 6 + x * 6)
16 + 4x = (-12 + 6x)

Solving
16 + 4x = -12 + 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.
16 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
16 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -2x = -12 + 0
16 + -2x = -12

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

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

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

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

Simplifying
x = 14

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