(x+21)=(3x-15)

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Solution for (x+21)=(3x-15) equation:


Simplifying
(x + 21) = (3x + -15)

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

Remove parenthesis around (21 + x)
21 + x = (3x + -15)

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

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

Solving
21 + x = -15 + 3x

Solving for variable 'x'.

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

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

Combine like terms: x + -3x = -2x
21 + -2x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -2x = -15 + 0
21 + -2x = -15

Add '-21' to each side of the equation.
21 + -21 + -2x = -15 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -15 + -21
-2x = -15 + -21

Combine like terms: -15 + -21 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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