3(5x+2)=8x-2(x+6)

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Solution for 3(5x+2)=8x-2(x+6) equation:


Simplifying
3(5x + 2) = 8x + -2(x + 6)

Reorder the terms:
3(2 + 5x) = 8x + -2(x + 6)
(2 * 3 + 5x * 3) = 8x + -2(x + 6)
(6 + 15x) = 8x + -2(x + 6)

Reorder the terms:
6 + 15x = 8x + -2(6 + x)
6 + 15x = 8x + (6 * -2 + x * -2)
6 + 15x = 8x + (-12 + -2x)

Reorder the terms:
6 + 15x = -12 + 8x + -2x

Combine like terms: 8x + -2x = 6x
6 + 15x = -12 + 6x

Solving
6 + 15x = -12 + 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.
6 + 15x + -6x = -12 + 6x + -6x

Combine like terms: 15x + -6x = 9x
6 + 9x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 9x = -12 + 0
6 + 9x = -12

Add '-6' to each side of the equation.
6 + -6 + 9x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -12 + -6
9x = -12 + -6

Combine like terms: -12 + -6 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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