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

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


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

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

Remove parenthesis around (4 + x)
4 + x = 7(x + -2)

Reorder the terms:
4 + x = 7(-2 + x)
4 + x = (-2 * 7 + x * 7)
4 + x = (-14 + 7x)

Solving
4 + x = -14 + 7x

Solving for variable 'x'.

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

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

Combine like terms: x + -7x = -6x
4 + -6x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -6x = -14 + 0
4 + -6x = -14

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

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

Combine like terms: -14 + -4 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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