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

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


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

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

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

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

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

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

Combine like terms: 2 + 4 = 6
21 + x = 6 + x + x

Combine like terms: x + x = 2x
21 + x = 6 + 2x

Solving
21 + x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + x + -2x = 6 + 2x + -2x

Combine like terms: x + -2x = -1x
21 + -1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -1x = 6 + 0
21 + -1x = 6

Add '-21' to each side of the equation.
21 + -21 + -1x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 6 + -21
-1x = 6 + -21

Combine like terms: 6 + -21 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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