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

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


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

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

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

Solving
-14 + 7X = 6 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
-14 + 7X + -3X = 6 + 3X + -3X

Combine like terms: 7X + -3X = 4X
-14 + 4X = 6 + 3X + -3X

Combine like terms: 3X + -3X = 0
-14 + 4X = 6 + 0
-14 + 4X = 6

Add '14' to each side of the equation.
-14 + 14 + 4X = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4X = 6 + 14
4X = 6 + 14

Combine like terms: 6 + 14 = 20
4X = 20

Divide each side by '4'.
X = 5

Simplifying
X = 5

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