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

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


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

Reorder the terms:
7(4 + X) = 2(X + -4)
(4 * 7 + X * 7) = 2(X + -4)
(28 + 7X) = 2(X + -4)

Reorder the terms:
28 + 7X = 2(-4 + X)
28 + 7X = (-4 * 2 + X * 2)
28 + 7X = (-8 + 2X)

Solving
28 + 7X = -8 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
28 + 7X + -2X = -8 + 2X + -2X

Combine like terms: 7X + -2X = 5X
28 + 5X = -8 + 2X + -2X

Combine like terms: 2X + -2X = 0
28 + 5X = -8 + 0
28 + 5X = -8

Add '-28' to each side of the equation.
28 + -28 + 5X = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 5X = -8 + -28
5X = -8 + -28

Combine like terms: -8 + -28 = -36
5X = -36

Divide each side by '5'.
X = -7.2

Simplifying
X = -7.2

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