33=3x-2(-3x+15)

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Solution for 33=3x-2(-3x+15) equation:


Simplifying
33 = 3x + -2(-3x + 15)

Reorder the terms:
33 = 3x + -2(15 + -3x)
33 = 3x + (15 * -2 + -3x * -2)
33 = 3x + (-30 + 6x)

Reorder the terms:
33 = -30 + 3x + 6x

Combine like terms: 3x + 6x = 9x
33 = -30 + 9x

Solving
33 = -30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
33 + -9x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
33 + -9x = -30 + 0
33 + -9x = -30

Add '-33' to each side of the equation.
33 + -33 + -9x = -30 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -30 + -33
-9x = -30 + -33

Combine like terms: -30 + -33 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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