6(3x+2)-5(6x-1)=3

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Solution for 6(3x+2)-5(6x-1)=3 equation:


Simplifying
6(3x + 2) + -5(6x + -1) = 3

Reorder the terms:
6(2 + 3x) + -5(6x + -1) = 3
(2 * 6 + 3x * 6) + -5(6x + -1) = 3
(12 + 18x) + -5(6x + -1) = 3

Reorder the terms:
12 + 18x + -5(-1 + 6x) = 3
12 + 18x + (-1 * -5 + 6x * -5) = 3
12 + 18x + (5 + -30x) = 3

Reorder the terms:
12 + 5 + 18x + -30x = 3

Combine like terms: 12 + 5 = 17
17 + 18x + -30x = 3

Combine like terms: 18x + -30x = -12x
17 + -12x = 3

Solving
17 + -12x = 3

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -12x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -12x = 3 + -17
-12x = 3 + -17

Combine like terms: 3 + -17 = -14
-12x = -14

Divide each side by '-12'.
x = 1.166666667

Simplifying
x = 1.166666667

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