2(4x+15)=2x-6

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Solution for 2(4x+15)=2x-6 equation:


Simplifying
2(4x + 15) = 2x + -6

Reorder the terms:
2(15 + 4x) = 2x + -6
(15 * 2 + 4x * 2) = 2x + -6
(30 + 8x) = 2x + -6

Reorder the terms:
30 + 8x = -6 + 2x

Solving
30 + 8x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 8x + -2x = -6 + 2x + -2x

Combine like terms: 8x + -2x = 6x
30 + 6x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 6x = -6 + 0
30 + 6x = -6

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

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

Combine like terms: -6 + -30 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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