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

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


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

Reorder the terms:
3(5 + x) = (x + -3)
(5 * 3 + x * 3) = (x + -3)
(15 + 3x) = (x + -3)

Reorder the terms:
15 + 3x = (-3 + x)

Remove parenthesis around (-3 + x)
15 + 3x = -3 + x

Solving
15 + 3x = -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.
15 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
15 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
15 + 2x = -3 + 0
15 + 2x = -3

Add '-15' to each side of the equation.
15 + -15 + 2x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -3 + -15
2x = -3 + -15

Combine like terms: -3 + -15 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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