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

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


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

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

Reorder the terms:
28 + 7x = (-2 + x)

Remove parenthesis around (-2 + x)
28 + 7x = -2 + x

Solving
28 + 7x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
28 + 7x + -1x = -2 + x + -1x

Combine like terms: 7x + -1x = 6x
28 + 6x = -2 + x + -1x

Combine like terms: x + -1x = 0
28 + 6x = -2 + 0
28 + 6x = -2

Add '-28' to each side of the equation.
28 + -28 + 6x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 6x = -2 + -28
6x = -2 + -28

Combine like terms: -2 + -28 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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