7(x+5)=x-3

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Solution for 7(x+5)=x-3 equation:


Simplifying
7(x + 5) = x + -3

Reorder the terms:
7(5 + x) = x + -3
(5 * 7 + x * 7) = x + -3
(35 + 7x) = x + -3

Reorder the terms:
35 + 7x = -3 + x

Solving
35 + 7x = -3 + 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.
35 + 7x + -1x = -3 + x + -1x

Combine like terms: 7x + -1x = 6x
35 + 6x = -3 + x + -1x

Combine like terms: x + -1x = 0
35 + 6x = -3 + 0
35 + 6x = -3

Add '-35' to each side of the equation.
35 + -35 + 6x = -3 + -35

Combine like terms: 35 + -35 = 0
0 + 6x = -3 + -35
6x = -3 + -35

Combine like terms: -3 + -35 = -38
6x = -38

Divide each side by '6'.
x = -6.333333333

Simplifying
x = -6.333333333

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