(X+3)-2(3-3x)=4(x+5)-2

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Solution for (X+3)-2(3-3x)=4(x+5)-2 equation:


Simplifying
(X + 3) + -2(3 + -3x) = 4(x + 5) + -2

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

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

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

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

Reorder the terms:
-3 + X + 6x = 4(5 + x) + -2
-3 + X + 6x = (5 * 4 + x * 4) + -2
-3 + X + 6x = (20 + 4x) + -2

Reorder the terms:
-3 + X + 6x = 20 + -2 + 4x

Combine like terms: 20 + -2 = 18
-3 + X + 6x = 18 + 4x

Solving
-3 + X + 6x = 18 + 4x

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X + 3 + 6x = 18 + 3 + 4x

Reorder the terms:
-3 + 3 + X + 6x = 18 + 3 + 4x

Combine like terms: -3 + 3 = 0
0 + X + 6x = 18 + 3 + 4x
X + 6x = 18 + 3 + 4x

Combine like terms: 18 + 3 = 21
X + 6x = 21 + 4x

Add '-6x' to each side of the equation.
X + 6x + -6x = 21 + 4x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = 21 + 4x + -6x
X = 21 + 4x + -6x

Combine like terms: 4x + -6x = -2x
X = 21 + -2x

Simplifying
X = 21 + -2x

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