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

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


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

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

Remove parenthesis around (5 + X)
5 + X + -2(3 + -2x) = 3(x + 5) + -2
5 + X + (3 * -2 + -2x * -2) = 3(x + 5) + -2
5 + X + (-6 + 4x) = 3(x + 5) + -2

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

Combine like terms: 5 + -6 = -1
-1 + X + 4x = 3(x + 5) + -2

Reorder the terms:
-1 + X + 4x = 3(5 + x) + -2
-1 + X + 4x = (5 * 3 + x * 3) + -2
-1 + X + 4x = (15 + 3x) + -2

Reorder the terms:
-1 + X + 4x = 15 + -2 + 3x

Combine like terms: 15 + -2 = 13
-1 + X + 4x = 13 + 3x

Solving
-1 + X + 4x = 13 + 3x

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 + X + 1 + 4x = 13 + 1 + 3x

Reorder the terms:
-1 + 1 + X + 4x = 13 + 1 + 3x

Combine like terms: -1 + 1 = 0
0 + X + 4x = 13 + 1 + 3x
X + 4x = 13 + 1 + 3x

Combine like terms: 13 + 1 = 14
X + 4x = 14 + 3x

Add '-4x' to each side of the equation.
X + 4x + -4x = 14 + 3x + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 14 + 3x + -4x
X = 14 + 3x + -4x

Combine like terms: 3x + -4x = -1x
X = 14 + -1x

Simplifying
X = 14 + -1x

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