2x-6+2(4x)+13=-2-5x+6

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Solution for 2x-6+2(4x)+13=-2-5x+6 equation:


Simplifying
2x + -6 + 2(4x) + 13 = -2 + -5x + 6

Remove parenthesis around (4x)
2x + -6 + 2 * 4x + 13 = -2 + -5x + 6

Multiply 2 * 4
2x + -6 + 8x + 13 = -2 + -5x + 6

Reorder the terms:
-6 + 13 + 2x + 8x = -2 + -5x + 6

Combine like terms: -6 + 13 = 7
7 + 2x + 8x = -2 + -5x + 6

Combine like terms: 2x + 8x = 10x
7 + 10x = -2 + -5x + 6

Reorder the terms:
7 + 10x = -2 + 6 + -5x

Combine like terms: -2 + 6 = 4
7 + 10x = 4 + -5x

Solving
7 + 10x = 4 + -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.
7 + 10x + 5x = 4 + -5x + 5x

Combine like terms: 10x + 5x = 15x
7 + 15x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 15x = 4 + 0
7 + 15x = 4

Add '-7' to each side of the equation.
7 + -7 + 15x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 15x = 4 + -7
15x = 4 + -7

Combine like terms: 4 + -7 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2

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