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

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


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

Reorder the terms:
6(-2 + x) + 3x = 3x + -8
(-2 * 6 + x * 6) + 3x = 3x + -8
(-12 + 6x) + 3x = 3x + -8

Combine like terms: 6x + 3x = 9x
-12 + 9x = 3x + -8

Reorder the terms:
-12 + 9x = -8 + 3x

Solving
-12 + 9x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 9x + -3x = -8 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-12 + 6x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 6x = -8 + 0
-12 + 6x = -8

Add '12' to each side of the equation.
-12 + 12 + 6x = -8 + 12

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

Combine like terms: -8 + 12 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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