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

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


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

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

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

Combine like terms: 4 + 5 = 9
9 + 1 + -1x + 4x = x + 16

Combine like terms: 9 + 1 = 10
10 + -1x + 4x = x + 16

Combine like terms: -1x + 4x = 3x
10 + 3x = x + 16

Reorder the terms:
10 + 3x = 16 + x

Solving
10 + 3x = 16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 3x + -1x = 16 + x + -1x

Combine like terms: 3x + -1x = 2x
10 + 2x = 16 + x + -1x

Combine like terms: x + -1x = 0
10 + 2x = 16 + 0
10 + 2x = 16

Add '-10' to each side of the equation.
10 + -10 + 2x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 16 + -10
2x = 16 + -10

Combine like terms: 16 + -10 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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