16=5(x-1)+1

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


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

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

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

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

Solving
16 = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -5x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -5x = -4 + 0
16 + -5x = -4

Add '-16' to each side of the equation.
16 + -16 + -5x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -4 + -16
-5x = -4 + -16

Combine like terms: -4 + -16 = -20
-5x = -20

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

Simplifying
x = 4

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