4(x+4)+x=3(x-2)+2

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Solution for 4(x+4)+x=3(x-2)+2 equation: 


Simplifying
4(x + 4) + x = 3(x + -2) + 2

Reorder the terms:
4(4 + x) + x = 3(x + -2) + 2
(4 * 4 + x * 4) + x = 3(x + -2) + 2
(16 + 4x) + x = 3(x + -2) + 2

Combine like terms: 4x + x = 5x
16 + 5x = 3(x + -2) + 2

Reorder the terms:
16 + 5x = 3(-2 + x) + 2
16 + 5x = (-2 * 3 + x * 3) + 2
16 + 5x = (-6 + 3x) + 2

Reorder the terms:
16 + 5x = -6 + 2 + 3x

Combine like terms: -6 + 2 = -4
16 + 5x = -4 + 3x

Solving
16 + 5x = -4 + 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 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
16 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 2x = -4 + 0
16 + 2x = -4

Add '-16' to each side of the equation.
16 + -16 + 2x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -4 + -16
2x = -4 + -16

Combine like terms: -4 + -16 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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