3(7-x)-33=21x-4(3-6x)

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Solution for 3(7-x)-33=21x-4(3-6x) equation:


Simplifying
3(7 + -1x) + -33 = 21x + -4(3 + -6x)
(7 * 3 + -1x * 3) + -33 = 21x + -4(3 + -6x)
(21 + -3x) + -33 = 21x + -4(3 + -6x)

Reorder the terms:
21 + -33 + -3x = 21x + -4(3 + -6x)

Combine like terms: 21 + -33 = -12
-12 + -3x = 21x + -4(3 + -6x)
-12 + -3x = 21x + (3 * -4 + -6x * -4)
-12 + -3x = 21x + (-12 + 24x)

Reorder the terms:
-12 + -3x = -12 + 21x + 24x

Combine like terms: 21x + 24x = 45x
-12 + -3x = -12 + 45x

Add '12' to each side of the equation.
-12 + 12 + -3x = -12 + 12 + 45x

Combine like terms: -12 + 12 = 0
0 + -3x = -12 + 12 + 45x
-3x = -12 + 12 + 45x

Combine like terms: -12 + 12 = 0
-3x = 0 + 45x
-3x = 45x

Solving
-3x = 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-3x + -45x = 45x + -45x

Combine like terms: -3x + -45x = -48x
-48x = 45x + -45x

Combine like terms: 45x + -45x = 0
-48x = 0

Divide each side by '-48'.
x = 0

Simplifying
x = 0

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