3(x-2)=8x-6

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


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

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

Reorder the terms:
-6 + 3x = -6 + 8x

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

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

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

Solving
3x = 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.
3x + -8x = 8x + -8x

Combine like terms: 3x + -8x = -5x
-5x = 8x + -8x

Combine like terms: 8x + -8x = 0
-5x = 0

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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