16=5(x-1)-(x-9)

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Solution for 16=5(x-1)-(x-9) equation: 


Simplifying
16 = 5(x + -1) + -1(x + -9)

Reorder the terms:
16 = 5(-1 + x) + -1(x + -9)
16 = (-1 * 5 + x * 5) + -1(x + -9)
16 = (-5 + 5x) + -1(x + -9)

Reorder the terms:
16 = -5 + 5x + -1(-9 + x)
16 = -5 + 5x + (-9 * -1 + x * -1)
16 = -5 + 5x + (9 + -1x)

Reorder the terms:
16 = -5 + 9 + 5x + -1x

Combine like terms: -5 + 9 = 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 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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