7(x+3)=(x-1)

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Solution for 7(x+3)=(x-1) equation:


Simplifying
7(x + 3) = (x + -1)

Reorder the terms:
7(3 + x) = (x + -1)
(3 * 7 + x * 7) = (x + -1)
(21 + 7x) = (x + -1)

Reorder the terms:
21 + 7x = (-1 + x)

Remove parenthesis around (-1 + x)
21 + 7x = -1 + x

Solving
21 + 7x = -1 + 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.
21 + 7x + -1x = -1 + x + -1x

Combine like terms: 7x + -1x = 6x
21 + 6x = -1 + x + -1x

Combine like terms: x + -1x = 0
21 + 6x = -1 + 0
21 + 6x = -1

Add '-21' to each side of the equation.
21 + -21 + 6x = -1 + -21

Combine like terms: 21 + -21 = 0
0 + 6x = -1 + -21
6x = -1 + -21

Combine like terms: -1 + -21 = -22
6x = -22

Divide each side by '6'.
x = -3.666666667

Simplifying
x = -3.666666667

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