2(X+2)+3X=2(X+1)+1

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Solution for 2(X+2)+3X=2(X+1)+1 equation:


Simplifying
2(X + 2) + 3X = 2(X + 1) + 1

Reorder the terms:
2(2 + X) + 3X = 2(X + 1) + 1
(2 * 2 + X * 2) + 3X = 2(X + 1) + 1
(4 + 2X) + 3X = 2(X + 1) + 1

Combine like terms: 2X + 3X = 5X
4 + 5X = 2(X + 1) + 1

Reorder the terms:
4 + 5X = 2(1 + X) + 1
4 + 5X = (1 * 2 + X * 2) + 1
4 + 5X = (2 + 2X) + 1

Reorder the terms:
4 + 5X = 2 + 1 + 2X

Combine like terms: 2 + 1 = 3
4 + 5X = 3 + 2X

Solving
4 + 5X = 3 + 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.
4 + 5X + -2X = 3 + 2X + -2X

Combine like terms: 5X + -2X = 3X
4 + 3X = 3 + 2X + -2X

Combine like terms: 2X + -2X = 0
4 + 3X = 3 + 0
4 + 3X = 3

Add '-4' to each side of the equation.
4 + -4 + 3X = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 3X = 3 + -4
3X = 3 + -4

Combine like terms: 3 + -4 = -1
3X = -1

Divide each side by '3'.
X = -0.3333333333

Simplifying
X = -0.3333333333

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