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

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


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

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

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

Combine like terms: 6x + -2x = 4x
6 + 4x = x + 8

Reorder the terms:
6 + 4x = 8 + x

Solving
6 + 4x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = 8 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = 8 + x + -1x

Combine like terms: x + -1x = 0
6 + 3x = 8 + 0
6 + 3x = 8

Add '-6' to each side of the equation.
6 + -6 + 3x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 8 + -6
3x = 8 + -6

Combine like terms: 8 + -6 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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