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

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


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

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

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

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

Combine like terms: -5 + 13 = 8
8 + 2x + 6x = -2 + -2x(16 + -5)

Combine like terms: 2x + 6x = 8x
8 + 8x = -2 + -2x(16 + -5)

Combine like terms: 16 + -5 = 11
8 + 8x = -2 + -2x(11)

Reorder the terms for easier multiplication:
8 + 8x = -2 + -2 * 11x

Multiply -2 * 11
8 + 8x = -2 + -22x

Solving
8 + 8x = -2 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
8 + 8x + 22x = -2 + -22x + 22x

Combine like terms: 8x + 22x = 30x
8 + 30x = -2 + -22x + 22x

Combine like terms: -22x + 22x = 0
8 + 30x = -2 + 0
8 + 30x = -2

Add '-8' to each side of the equation.
8 + -8 + 30x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 30x = -2 + -8
30x = -2 + -8

Combine like terms: -2 + -8 = -10
30x = -10

Divide each side by '30'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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