6-x-3(2-5x)=12+8x

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Solution for 6-x-3(2-5x)=12+8x equation:


Simplifying
6 + -1x + -3(2 + -5x) = 12 + 8x
6 + -1x + (2 * -3 + -5x * -3) = 12 + 8x
6 + -1x + (-6 + 15x) = 12 + 8x

Reorder the terms:
6 + -6 + -1x + 15x = 12 + 8x

Combine like terms: 6 + -6 = 0
0 + -1x + 15x = 12 + 8x
-1x + 15x = 12 + 8x

Combine like terms: -1x + 15x = 14x
14x = 12 + 8x

Solving
14x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14x + -8x = 12 + 8x + -8x

Combine like terms: 14x + -8x = 6x
6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
6x = 12 + 0
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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