6(3x-1)-3(2x)=14

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Solution for 6(3x-1)-3(2x)=14 equation:


Simplifying
6(3x + -1) + -3(2x) = 14

Reorder the terms:
6(-1 + 3x) + -3(2x) = 14
(-1 * 6 + 3x * 6) + -3(2x) = 14
(-6 + 18x) + -3(2x) = 14

Remove parenthesis around (2x)
-6 + 18x + -3 * 2x = 14

Multiply -3 * 2
-6 + 18x + -6x = 14

Combine like terms: 18x + -6x = 12x
-6 + 12x = 14

Solving
-6 + 12x = 14

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 12x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 14 + 6
12x = 14 + 6

Combine like terms: 14 + 6 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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