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

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


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

Reorder the terms:
7(2 + X) = 4(X + 6)
(2 * 7 + X * 7) = 4(X + 6)
(14 + 7X) = 4(X + 6)

Reorder the terms:
14 + 7X = 4(6 + X)
14 + 7X = (6 * 4 + X * 4)
14 + 7X = (24 + 4X)

Solving
14 + 7X = 24 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
14 + 7X + -4X = 24 + 4X + -4X

Combine like terms: 7X + -4X = 3X
14 + 3X = 24 + 4X + -4X

Combine like terms: 4X + -4X = 0
14 + 3X = 24 + 0
14 + 3X = 24

Add '-14' to each side of the equation.
14 + -14 + 3X = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 3X = 24 + -14
3X = 24 + -14

Combine like terms: 24 + -14 = 10
3X = 10

Divide each side by '3'.
X = 3.333333333

Simplifying
X = 3.333333333

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