2x-3+2(3x)+13=-2-5x+(9-5)

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Solution for 2x-3+2(3x)+13=-2-5x+(9-5) equation:


Simplifying
2x + -3 + 2(3x) + 13 = -2 + -5x + (9 + -5)

Remove parenthesis around (3x)
2x + -3 + 2 * 3x + 13 = -2 + -5x + (9 + -5)

Multiply 2 * 3
2x + -3 + 6x + 13 = -2 + -5x + (9 + -5)

Reorder the terms:
-3 + 13 + 2x + 6x = -2 + -5x + (9 + -5)

Combine like terms: -3 + 13 = 10
10 + 2x + 6x = -2 + -5x + (9 + -5)

Combine like terms: 2x + 6x = 8x
10 + 8x = -2 + -5x + (9 + -5)

Combine like terms: 9 + -5 = 4
10 + 8x = -2 + -5x + (4)
10 + 8x = -2 + -5x + 4

Reorder the terms:
10 + 8x = -2 + 4 + -5x

Combine like terms: -2 + 4 = 2
10 + 8x = 2 + -5x

Solving
10 + 8x = 2 + -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 + 8x + 5x = 2 + -5x + 5x

Combine like terms: 8x + 5x = 13x
10 + 13x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 13x = 2 + 0
10 + 13x = 2

Add '-10' to each side of the equation.
10 + -10 + 13x = 2 + -10

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

Combine like terms: 2 + -10 = -8
13x = -8

Divide each side by '13'.
x = -0.6153846154

Simplifying
x = -0.6153846154

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