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

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


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

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

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

Reorder the terms:
-5 + 13 + 3x + 4x = -3 + -3x + 9

Combine like terms: -5 + 13 = 8
8 + 3x + 4x = -3 + -3x + 9

Combine like terms: 3x + 4x = 7x
8 + 7x = -3 + -3x + 9

Reorder the terms:
8 + 7x = -3 + 9 + -3x

Combine like terms: -3 + 9 = 6
8 + 7x = 6 + -3x

Solving
8 + 7x = 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.
8 + 7x + 3x = 6 + -3x + 3x

Combine like terms: 7x + 3x = 10x
8 + 10x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 10x = 6 + 0
8 + 10x = 6

Add '-8' to each side of the equation.
8 + -8 + 10x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 6 + -8
10x = 6 + -8

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

Divide each side by '10'.
x = -0.2

Simplifying
x = -0.2

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