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

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Solution for 3x-5+2(2x)+13=-2-5x(9-6) equation:


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

Remove parenthesis around (2x)
3x + -5 + 2 * 2x + 13 = -2 + -5x(9 + -6)

Multiply 2 * 2
3x + -5 + 4x + 13 = -2 + -5x(9 + -6)

Reorder the terms:
-5 + 13 + 3x + 4x = -2 + -5x(9 + -6)

Combine like terms: -5 + 13 = 8
8 + 3x + 4x = -2 + -5x(9 + -6)

Combine like terms: 3x + 4x = 7x
8 + 7x = -2 + -5x(9 + -6)

Combine like terms: 9 + -6 = 3
8 + 7x = -2 + -5x(3)

Reorder the terms for easier multiplication:
8 + 7x = -2 + -5 * 3x

Multiply -5 * 3
8 + 7x = -2 + -15x

Solving
8 + 7x = -2 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
8 + 7x + 15x = -2 + -15x + 15x

Combine like terms: 7x + 15x = 22x
8 + 22x = -2 + -15x + 15x

Combine like terms: -15x + 15x = 0
8 + 22x = -2 + 0
8 + 22x = -2

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

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

Combine like terms: -2 + -8 = -10
22x = -10

Divide each side by '22'.
x = -0.4545454545

Simplifying
x = -0.4545454545

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