15x+9(6-x)=3x-21

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Solution for 15x+9(6-x)=3x-21 equation:


Simplifying
15x + 9(6 + -1x) = 3x + -21
15x + (6 * 9 + -1x * 9) = 3x + -21
15x + (54 + -9x) = 3x + -21

Reorder the terms:
54 + 15x + -9x = 3x + -21

Combine like terms: 15x + -9x = 6x
54 + 6x = 3x + -21

Reorder the terms:
54 + 6x = -21 + 3x

Solving
54 + 6x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
54 + 6x + -3x = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
54 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
54 + 3x = -21 + 0
54 + 3x = -21

Add '-54' to each side of the equation.
54 + -54 + 3x = -21 + -54

Combine like terms: 54 + -54 = 0
0 + 3x = -21 + -54
3x = -21 + -54

Combine like terms: -21 + -54 = -75
3x = -75

Divide each side by '3'.
x = -25

Simplifying
x = -25

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