(X+20)+(3x-40)=2x+46

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Solution for (X+20)+(3x-40)=2x+46 equation:


Simplifying
(X + 20) + (3x + -40) = 2x + 46

Reorder the terms:
(20 + X) + (3x + -40) = 2x + 46

Remove parenthesis around (20 + X)
20 + X + (3x + -40) = 2x + 46

Reorder the terms:
20 + X + (-40 + 3x) = 2x + 46

Remove parenthesis around (-40 + 3x)
20 + X + -40 + 3x = 2x + 46

Reorder the terms:
20 + -40 + X + 3x = 2x + 46

Combine like terms: 20 + -40 = -20
-20 + X + 3x = 2x + 46

Reorder the terms:
-20 + X + 3x = 46 + 2x

Solving
-20 + X + 3x = 46 + 2x

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + X + 20 + 3x = 46 + 20 + 2x

Reorder the terms:
-20 + 20 + X + 3x = 46 + 20 + 2x

Combine like terms: -20 + 20 = 0
0 + X + 3x = 46 + 20 + 2x
X + 3x = 46 + 20 + 2x

Combine like terms: 46 + 20 = 66
X + 3x = 66 + 2x

Add '-3x' to each side of the equation.
X + 3x + -3x = 66 + 2x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 66 + 2x + -3x
X = 66 + 2x + -3x

Combine like terms: 2x + -3x = -1x
X = 66 + -1x

Simplifying
X = 66 + -1x

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