2x-3+2(3x)+13=-3-3x+9

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Solution for 2x-3+2(3x)+13=-3-3x+9 equation:


Simplifying
2x + -3 + 2(3x) + 13 = -3 + -3x + 9

Remove parenthesis around (3x)
2x + -3 + 2 * 3x + 13 = -3 + -3x + 9

Multiply 2 * 3
2x + -3 + 6x + 13 = -3 + -3x + 9

Reorder the terms:
-3 + 13 + 2x + 6x = -3 + -3x + 9

Combine like terms: -3 + 13 = 10
10 + 2x + 6x = -3 + -3x + 9

Combine like terms: 2x + 6x = 8x
10 + 8x = -3 + -3x + 9

Reorder the terms:
10 + 8x = -3 + 9 + -3x

Combine like terms: -3 + 9 = 6
10 + 8x = 6 + -3x

Solving
10 + 8x = 6 + -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.
10 + 8x + 3x = 6 + -3x + 3x

Combine like terms: 8x + 3x = 11x
10 + 11x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 11x = 6 + 0
10 + 11x = 6

Add '-10' to each side of the equation.
10 + -10 + 11x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 6 + -10
11x = 6 + -10

Combine like terms: 6 + -10 = -4
11x = -4

Divide each side by '11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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