3x+21=(x+5)-12

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Solution for 3x+21=(x+5)-12 equation:


Simplifying
3x + 21 = (x + 5) + -12

Reorder the terms:
21 + 3x = (x + 5) + -12

Reorder the terms:
21 + 3x = (5 + x) + -12

Remove parenthesis around (5 + x)
21 + 3x = 5 + x + -12

Reorder the terms:
21 + 3x = 5 + -12 + x

Combine like terms: 5 + -12 = -7
21 + 3x = -7 + x

Solving
21 + 3x = -7 + 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 + 3x + -1x = -7 + x + -1x

Combine like terms: 3x + -1x = 2x
21 + 2x = -7 + x + -1x

Combine like terms: x + -1x = 0
21 + 2x = -7 + 0
21 + 2x = -7

Add '-21' to each side of the equation.
21 + -21 + 2x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = -7 + -21
2x = -7 + -21

Combine like terms: -7 + -21 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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