(3x-21)+(2x+4)=x

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Solution for (3x-21)+(2x+4)=x equation:


Simplifying
(3x + -21) + (2x + 4) = x

Reorder the terms:
(-21 + 3x) + (2x + 4) = x

Remove parenthesis around (-21 + 3x)
-21 + 3x + (2x + 4) = x

Reorder the terms:
-21 + 3x + (4 + 2x) = x

Remove parenthesis around (4 + 2x)
-21 + 3x + 4 + 2x = x

Reorder the terms:
-21 + 4 + 3x + 2x = x

Combine like terms: -21 + 4 = -17
-17 + 3x + 2x = x

Combine like terms: 3x + 2x = 5x
-17 + 5x = x

Solving
-17 + 5x = 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.
-17 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
-17 + 4x = x + -1x

Combine like terms: x + -1x = 0
-17 + 4x = 0

Add '17' to each side of the equation.
-17 + 17 + 4x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 0 + 17
4x = 0 + 17

Combine like terms: 0 + 17 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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