x-21=5x+6-7x

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Solution for x-21=5x+6-7x equation:


Simplifying
x + -21 = 5x + 6 + -7x

Reorder the terms:
-21 + x = 5x + 6 + -7x

Reorder the terms:
-21 + x = 6 + 5x + -7x

Combine like terms: 5x + -7x = -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 = 3x
-21 + 3x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + 3x = 6 + 0
-21 + 3x = 6

Add '21' to each side of the equation.
-21 + 21 + 3x = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 6 + 21
3x = 6 + 21

Combine like terms: 6 + 21 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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