3(2X)-2(7)=4(3X)-3(8)

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Solution for 3(2X)-2(7)=4(3X)-3(8) equation: 


Simplifying
3(2X) + -2(7) = 4(3X) + -3(8)

Remove parenthesis around (2X)
3 * 2X + -2(7) = 4(3X) + -3(8)

Multiply 3 * 2
6X + -2(7) = 4(3X) + -3(8)

Multiply -2 * 7
6X + -14 = 4(3X) + -3(8)

Reorder the terms:
-14 + 6X = 4(3X) + -3(8)

Remove parenthesis around (3X)
-14 + 6X = 4 * 3X + -3(8)

Multiply 4 * 3
-14 + 6X = 12X + -3(8)

Multiply -3 * 8
-14 + 6X = 12X + -24

Reorder the terms:
-14 + 6X = -24 + 12X

Solving
-14 + 6X = -24 + 12X

Solving for variable 'X'.

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

Add '-12X' to each side of the equation.
-14 + 6X + -12X = -24 + 12X + -12X

Combine like terms: 6X + -12X = -6X
-14 + -6X = -24 + 12X + -12X

Combine like terms: 12X + -12X = 0
-14 + -6X = -24 + 0
-14 + -6X = -24

Add '14' to each side of the equation.
-14 + 14 + -6X = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -6X = -24 + 14
-6X = -24 + 14

Combine like terms: -24 + 14 = -10
-6X = -10

Divide each side by '-6'.
X = 1.666666667

Simplifying
X = 1.666666667

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