(X+2)+(2X-1)=4X-7

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Solution for (X+2)+(2X-1)=4X-7 equation: 


Simplifying
(X + 2) + (2X + -1) = 4X + -7

Reorder the terms:
(2 + X) + (2X + -1) = 4X + -7

Remove parenthesis around (2 + X)
2 + X + (2X + -1) = 4X + -7

Reorder the terms:
2 + X + (-1 + 2X) = 4X + -7

Remove parenthesis around (-1 + 2X)
2 + X + -1 + 2X = 4X + -7

Reorder the terms:
2 + -1 + X + 2X = 4X + -7

Combine like terms: 2 + -1 = 1
1 + X + 2X = 4X + -7

Combine like terms: X + 2X = 3X
1 + 3X = 4X + -7

Reorder the terms:
1 + 3X = -7 + 4X

Solving
1 + 3X = -7 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
1 + 3X + -4X = -7 + 4X + -4X

Combine like terms: 3X + -4X = -1X
1 + -1X = -7 + 4X + -4X

Combine like terms: 4X + -4X = 0
1 + -1X = -7 + 0
1 + -1X = -7

Add '-1' to each side of the equation.
1 + -1 + -1X = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -1X = -7 + -1
-1X = -7 + -1

Combine like terms: -7 + -1 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8

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