15(x+2)+2x=6x-10

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Solution for 15(x+2)+2x=6x-10 equation:


Simplifying
15(x + 2) + 2x = 6x + -10

Reorder the terms:
15(2 + x) + 2x = 6x + -10
(2 * 15 + x * 15) + 2x = 6x + -10
(30 + 15x) + 2x = 6x + -10

Combine like terms: 15x + 2x = 17x
30 + 17x = 6x + -10

Reorder the terms:
30 + 17x = -10 + 6x

Solving
30 + 17x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
30 + 17x + -6x = -10 + 6x + -6x

Combine like terms: 17x + -6x = 11x
30 + 11x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + 11x = -10 + 0
30 + 11x = -10

Add '-30' to each side of the equation.
30 + -30 + 11x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + 11x = -10 + -30
11x = -10 + -30

Combine like terms: -10 + -30 = -40
11x = -40

Divide each side by '11'.
x = -3.636363636

Simplifying
x = -3.636363636

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