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

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


Simplifying
x + (x + -2) + (3 + 2x) = 20

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

Remove parenthesis around (-2 + x)
x + -2 + x + (3 + 2x) = 20

Remove parenthesis around (3 + 2x)
x + -2 + x + 3 + 2x = 20

Reorder the terms:
-2 + 3 + x + x + 2x = 20

Combine like terms: -2 + 3 = 1
1 + x + x + 2x = 20

Combine like terms: x + x = 2x
1 + 2x + 2x = 20

Combine like terms: 2x + 2x = 4x
1 + 4x = 20

Solving
1 + 4x = 20

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 20 + -1
4x = 20 + -1

Combine like terms: 20 + -1 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75

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