7(3X-2)-6X=6(3X+2)-7X

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Solution for 7(3X-2)-6X=6(3X+2)-7X equation: 


Simplifying
7(3X + -2) + -6X = 6(3X + 2) + -7X

Reorder the terms:
7(-2 + 3X) + -6X = 6(3X + 2) + -7X
(-2 * 7 + 3X * 7) + -6X = 6(3X + 2) + -7X
(-14 + 21X) + -6X = 6(3X + 2) + -7X

Combine like terms: 21X + -6X = 15X
-14 + 15X = 6(3X + 2) + -7X

Reorder the terms:
-14 + 15X = 6(2 + 3X) + -7X
-14 + 15X = (2 * 6 + 3X * 6) + -7X
-14 + 15X = (12 + 18X) + -7X

Combine like terms: 18X + -7X = 11X
-14 + 15X = 12 + 11X

Solving
-14 + 15X = 12 + 11X

Solving for variable 'X'.

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

Add '-11X' to each side of the equation.
-14 + 15X + -11X = 12 + 11X + -11X

Combine like terms: 15X + -11X = 4X
-14 + 4X = 12 + 11X + -11X

Combine like terms: 11X + -11X = 0
-14 + 4X = 12 + 0
-14 + 4X = 12

Add '14' to each side of the equation.
-14 + 14 + 4X = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 4X = 12 + 14
4X = 12 + 14

Combine like terms: 12 + 14 = 26
4X = 26

Divide each side by '4'.
X = 6.5

Simplifying
X = 6.5

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