5x-(3x+9)=6x-21

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Solution for 5x-(3x+9)=6x-21 equation:


Simplifying
5x + -1(3x + 9) = 6x + -21

Reorder the terms:
5x + -1(9 + 3x) = 6x + -21
5x + (9 * -1 + 3x * -1) = 6x + -21
5x + (-9 + -3x) = 6x + -21

Reorder the terms:
-9 + 5x + -3x = 6x + -21

Combine like terms: 5x + -3x = 2x
-9 + 2x = 6x + -21

Reorder the terms:
-9 + 2x = -21 + 6x

Solving
-9 + 2x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 2x + -6x = -21 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-9 + -4x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -4x = -21 + 0
-9 + -4x = -21

Add '9' to each side of the equation.
-9 + 9 + -4x = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -21 + 9
-4x = -21 + 9

Combine like terms: -21 + 9 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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