3x-3+2(2x)+13=-2-5x+(16-6)

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Solution for 3x-3+2(2x)+13=-2-5x+(16-6) equation:


Simplifying
3x + -3 + 2(2x) + 13 = -2 + -5x + (16 + -6)

Remove parenthesis around (2x)
3x + -3 + 2 * 2x + 13 = -2 + -5x + (16 + -6)

Multiply 2 * 2
3x + -3 + 4x + 13 = -2 + -5x + (16 + -6)

Reorder the terms:
-3 + 13 + 3x + 4x = -2 + -5x + (16 + -6)

Combine like terms: -3 + 13 = 10
10 + 3x + 4x = -2 + -5x + (16 + -6)

Combine like terms: 3x + 4x = 7x
10 + 7x = -2 + -5x + (16 + -6)

Combine like terms: 16 + -6 = 10
10 + 7x = -2 + -5x + (10)
10 + 7x = -2 + -5x + 10

Reorder the terms:
10 + 7x = -2 + 10 + -5x

Combine like terms: -2 + 10 = 8
10 + 7x = 8 + -5x

Solving
10 + 7x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 7x + 5x = 8 + -5x + 5x

Combine like terms: 7x + 5x = 12x
10 + 12x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 12x = 8 + 0
10 + 12x = 8

Add '-10' to each side of the equation.
10 + -10 + 12x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 12x = 8 + -10
12x = 8 + -10

Combine like terms: 8 + -10 = -2
12x = -2

Divide each side by '12'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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