6*(X+2)+3(3X+7)=4*(5+4X)-7

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Solution for 6*(X+2)+3(3X+7)=4*(5+4X)-7 equation: 


Simplifying
6(X + 2) + 3(3X + 7) = 4(5 + 4X) + -7

Reorder the terms:
6(2 + X) + 3(3X + 7) = 4(5 + 4X) + -7
(2 * 6 + X * 6) + 3(3X + 7) = 4(5 + 4X) + -7
(12 + 6X) + 3(3X + 7) = 4(5 + 4X) + -7

Reorder the terms:
12 + 6X + 3(7 + 3X) = 4(5 + 4X) + -7
12 + 6X + (7 * 3 + 3X * 3) = 4(5 + 4X) + -7
12 + 6X + (21 + 9X) = 4(5 + 4X) + -7

Reorder the terms:
12 + 21 + 6X + 9X = 4(5 + 4X) + -7

Combine like terms: 12 + 21 = 33
33 + 6X + 9X = 4(5 + 4X) + -7

Combine like terms: 6X + 9X = 15X
33 + 15X = 4(5 + 4X) + -7
33 + 15X = (5 * 4 + 4X * 4) + -7
33 + 15X = (20 + 16X) + -7

Reorder the terms:
33 + 15X = 20 + -7 + 16X

Combine like terms: 20 + -7 = 13
33 + 15X = 13 + 16X

Solving
33 + 15X = 13 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
33 + 15X + -16X = 13 + 16X + -16X

Combine like terms: 15X + -16X = -1X
33 + -1X = 13 + 16X + -16X

Combine like terms: 16X + -16X = 0
33 + -1X = 13 + 0
33 + -1X = 13

Add '-33' to each side of the equation.
33 + -33 + -1X = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -1X = 13 + -33
-1X = 13 + -33

Combine like terms: 13 + -33 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20

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