x+16=4(x-5)

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


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

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

Reorder the terms:
16 + x = 4(-5 + x)
16 + x = (-5 * 4 + x * 4)
16 + x = (-20 + 4x)

Solving
16 + x = -20 + 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 + x + -4x = -20 + 4x + -4x

Combine like terms: x + -4x = -3x
16 + -3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -3x = -20 + 0
16 + -3x = -20

Add '-16' to each side of the equation.
16 + -16 + -3x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -20 + -16
-3x = -20 + -16

Combine like terms: -20 + -16 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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