x-2(3-2x)+1+5x+3(x+2)-3=0

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Solution for x-2(3-2x)+1+5x+3(x+2)-3=0 equation:


Simplifying
x + -2(3 + -2x) + 1 + 5x + 3(x + 2) + -3 = 0
x + (3 * -2 + -2x * -2) + 1 + 5x + 3(x + 2) + -3 = 0
x + (-6 + 4x) + 1 + 5x + 3(x + 2) + -3 = 0

Reorder the terms:
x + -6 + 4x + 1 + 5x + 3(2 + x) + -3 = 0
x + -6 + 4x + 1 + 5x + (2 * 3 + x * 3) + -3 = 0
x + -6 + 4x + 1 + 5x + (6 + 3x) + -3 = 0

Reorder the terms:
-6 + 1 + 6 + -3 + x + 4x + 5x + 3x = 0

Combine like terms: -6 + 1 = -5
-5 + 6 + -3 + x + 4x + 5x + 3x = 0

Combine like terms: -5 + 6 = 1
1 + -3 + x + 4x + 5x + 3x = 0

Combine like terms: 1 + -3 = -2
-2 + x + 4x + 5x + 3x = 0

Combine like terms: x + 4x = 5x
-2 + 5x + 5x + 3x = 0

Combine like terms: 5x + 5x = 10x
-2 + 10x + 3x = 0

Combine like terms: 10x + 3x = 13x
-2 + 13x = 0

Solving
-2 + 13x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 13x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 0 + 2
13x = 0 + 2

Combine like terms: 0 + 2 = 2
13x = 2

Divide each side by '13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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