4(x-2)-16=6(x-2)

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Solution for 4(x-2)-16=6(x-2) equation:


Simplifying
4(x + -2) + -16 = 6(x + -2)

Reorder the terms:
4(-2 + x) + -16 = 6(x + -2)
(-2 * 4 + x * 4) + -16 = 6(x + -2)
(-8 + 4x) + -16 = 6(x + -2)

Reorder the terms:
-8 + -16 + 4x = 6(x + -2)

Combine like terms: -8 + -16 = -24
-24 + 4x = 6(x + -2)

Reorder the terms:
-24 + 4x = 6(-2 + x)
-24 + 4x = (-2 * 6 + x * 6)
-24 + 4x = (-12 + 6x)

Solving
-24 + 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.
-24 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x = -12 + 0
-24 + -2x = -12

Add '24' to each side of the equation.
-24 + 24 + -2x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -12 + 24
-2x = -12 + 24

Combine like terms: -12 + 24 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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