-3x+4(-3x-3)=21-6x

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Solution for -3x+4(-3x-3)=21-6x equation:


Simplifying
-3x + 4(-3x + -3) = 21 + -6x

Reorder the terms:
-3x + 4(-3 + -3x) = 21 + -6x
-3x + (-3 * 4 + -3x * 4) = 21 + -6x
-3x + (-12 + -12x) = 21 + -6x

Reorder the terms:
-12 + -3x + -12x = 21 + -6x

Combine like terms: -3x + -12x = -15x
-12 + -15x = 21 + -6x

Solving
-12 + -15x = 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.
-12 + -15x + 6x = 21 + -6x + 6x

Combine like terms: -15x + 6x = -9x
-12 + -9x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + -9x = 21 + 0
-12 + -9x = 21

Add '12' to each side of the equation.
-12 + 12 + -9x = 21 + 12

Combine like terms: -12 + 12 = 0
0 + -9x = 21 + 12
-9x = 21 + 12

Combine like terms: 21 + 12 = 33
-9x = 33

Divide each side by '-9'.
x = -3.666666667

Simplifying
x = -3.666666667

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