16=4(x-1)-(x-5)

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Solution for 16=4(x-1)-(x-5) equation: 


Simplifying
16 = 4(x + -1) + -1(x + -5)

Reorder the terms:
16 = 4(-1 + x) + -1(x + -5)
16 = (-1 * 4 + x * 4) + -1(x + -5)
16 = (-4 + 4x) + -1(x + -5)

Reorder the terms:
16 = -4 + 4x + -1(-5 + x)
16 = -4 + 4x + (-5 * -1 + x * -1)
16 = -4 + 4x + (5 + -1x)

Reorder the terms:
16 = -4 + 5 + 4x + -1x

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

Combine like terms: 4x + -1x = 3x
16 = 1 + 3x

Solving
16 = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -3x = 1 + 0
16 + -3x = 1

Add '-16' to each side of the equation.
16 + -16 + -3x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 1 + -16
-3x = 1 + -16

Combine like terms: 1 + -16 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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