-2(2X+1)+1=3(X+2)-5

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Solution for -2(2X+1)+1=3(X+2)-5 equation: 


Simplifying
-2(2X + 1) + 1 = 3(X + 2) + -5

Reorder the terms:
-2(1 + 2X) + 1 = 3(X + 2) + -5
(1 * -2 + 2X * -2) + 1 = 3(X + 2) + -5
(-2 + -4X) + 1 = 3(X + 2) + -5

Reorder the terms:
-2 + 1 + -4X = 3(X + 2) + -5

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

Reorder the terms:
-1 + -4X = 3(2 + X) + -5
-1 + -4X = (2 * 3 + X * 3) + -5
-1 + -4X = (6 + 3X) + -5

Reorder the terms:
-1 + -4X = 6 + -5 + 3X

Combine like terms: 6 + -5 = 1
-1 + -4X = 1 + 3X

Solving
-1 + -4X = 1 + 3X

Solving for variable 'X'.

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

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

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

Combine like terms: 3X + -3X = 0
-1 + -7X = 1 + 0
-1 + -7X = 1

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

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

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

Divide each side by '-7'.
X = -0.2857142857

Simplifying
X = -0.2857142857

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