3+2(4+2x)+1=20-2(2-x)

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Solution for 3+2(4+2x)+1=20-2(2-x) equation: 


Simplifying
3 + 2(4 + 2x) + 1 = 20 + -2(2 + -1x)
3 + (4 * 2 + 2x * 2) + 1 = 20 + -2(2 + -1x)
3 + (8 + 4x) + 1 = 20 + -2(2 + -1x)

Reorder the terms:
3 + 8 + 1 + 4x = 20 + -2(2 + -1x)

Combine like terms: 3 + 8 = 11
11 + 1 + 4x = 20 + -2(2 + -1x)

Combine like terms: 11 + 1 = 12
12 + 4x = 20 + -2(2 + -1x)
12 + 4x = 20 + (2 * -2 + -1x * -2)
12 + 4x = 20 + (-4 + 2x)

Combine like terms: 20 + -4 = 16
12 + 4x = 16 + 2x

Solving
12 + 4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 4x + -2x = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = 16 + 0
12 + 2x = 16

Add '-12' to each side of the equation.
12 + -12 + 2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 16 + -12
2x = 16 + -12

Combine like terms: 16 + -12 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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