16=5(x-2)-(x-6)

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Solution for 16=5(x-2)-(x-6) equation: 


Simplifying
16 = 5(x + -2) + -1(x + -6)

Reorder the terms:
16 = 5(-2 + x) + -1(x + -6)
16 = (-2 * 5 + x * 5) + -1(x + -6)
16 = (-10 + 5x) + -1(x + -6)

Reorder the terms:
16 = -10 + 5x + -1(-6 + x)
16 = -10 + 5x + (-6 * -1 + x * -1)
16 = -10 + 5x + (6 + -1x)

Reorder the terms:
16 = -10 + 6 + 5x + -1x

Combine like terms: -10 + 6 = -4
16 = -4 + 5x + -1x

Combine like terms: 5x + -1x = 4x
16 = -4 + 4x

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

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

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

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

Combine like terms: -4 + -16 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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