6(6X-5)-5(4X-9)=5(3X+3)-6

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Solution for 6(6X-5)-5(4X-9)=5(3X+3)-6 equation:


Simplifying
6(6X + -5) + -5(4X + -9) = 5(3X + 3) + -6

Reorder the terms:
6(-5 + 6X) + -5(4X + -9) = 5(3X + 3) + -6
(-5 * 6 + 6X * 6) + -5(4X + -9) = 5(3X + 3) + -6
(-30 + 36X) + -5(4X + -9) = 5(3X + 3) + -6

Reorder the terms:
-30 + 36X + -5(-9 + 4X) = 5(3X + 3) + -6
-30 + 36X + (-9 * -5 + 4X * -5) = 5(3X + 3) + -6
-30 + 36X + (45 + -20X) = 5(3X + 3) + -6

Reorder the terms:
-30 + 45 + 36X + -20X = 5(3X + 3) + -6

Combine like terms: -30 + 45 = 15
15 + 36X + -20X = 5(3X + 3) + -6

Combine like terms: 36X + -20X = 16X
15 + 16X = 5(3X + 3) + -6

Reorder the terms:
15 + 16X = 5(3 + 3X) + -6
15 + 16X = (3 * 5 + 3X * 5) + -6
15 + 16X = (15 + 15X) + -6

Reorder the terms:
15 + 16X = 15 + -6 + 15X

Combine like terms: 15 + -6 = 9
15 + 16X = 9 + 15X

Solving
15 + 16X = 9 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
15 + 16X + -15X = 9 + 15X + -15X

Combine like terms: 16X + -15X = 1X
15 + 1X = 9 + 15X + -15X

Combine like terms: 15X + -15X = 0
15 + 1X = 9 + 0
15 + 1X = 9

Add '-15' to each side of the equation.
15 + -15 + 1X = 9 + -15

Combine like terms: 15 + -15 = 0
0 + 1X = 9 + -15
1X = 9 + -15

Combine like terms: 9 + -15 = -6
1X = -6

Divide each side by '1'.
X = -6

Simplifying
X = -6

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