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

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


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

Reorder the terms:
-3(-3 + x) + 3 = -15(x + 2)
(-3 * -3 + x * -3) + 3 = -15(x + 2)
(9 + -3x) + 3 = -15(x + 2)

Reorder the terms:
9 + 3 + -3x = -15(x + 2)

Combine like terms: 9 + 3 = 12
12 + -3x = -15(x + 2)

Reorder the terms:
12 + -3x = -15(2 + x)
12 + -3x = (2 * -15 + x * -15)
12 + -3x = (-30 + -15x)

Solving
12 + -3x = -30 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
12 + -3x + 15x = -30 + -15x + 15x

Combine like terms: -3x + 15x = 12x
12 + 12x = -30 + -15x + 15x

Combine like terms: -15x + 15x = 0
12 + 12x = -30 + 0
12 + 12x = -30

Add '-12' to each side of the equation.
12 + -12 + 12x = -30 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = -30 + -12
12x = -30 + -12

Combine like terms: -30 + -12 = -42
12x = -42

Divide each side by '12'.
x = -3.5

Simplifying
x = -3.5

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