6(3X+2)=4(4X+7)

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


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

Reorder the terms:
6(2 + 3X) = 4(4X + 7)
(2 * 6 + 3X * 6) = 4(4X + 7)
(12 + 18X) = 4(4X + 7)

Reorder the terms:
12 + 18X = 4(7 + 4X)
12 + 18X = (7 * 4 + 4X * 4)
12 + 18X = (28 + 16X)

Solving
12 + 18X = 28 + 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.
12 + 18X + -16X = 28 + 16X + -16X

Combine like terms: 18X + -16X = 2X
12 + 2X = 28 + 16X + -16X

Combine like terms: 16X + -16X = 0
12 + 2X = 28 + 0
12 + 2X = 28

Add '-12' to each side of the equation.
12 + -12 + 2X = 28 + -12

Combine like terms: 12 + -12 = 0
0 + 2X = 28 + -12
2X = 28 + -12

Combine like terms: 28 + -12 = 16
2X = 16

Divide each side by '2'.
X = 8

Simplifying
X = 8

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