3(-2x-3)-2=10-3x

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Solution for 3(-2x-3)-2=10-3x equation:


Simplifying
3(-2x + -3) + -2 = 10 + -3x

Reorder the terms:
3(-3 + -2x) + -2 = 10 + -3x
(-3 * 3 + -2x * 3) + -2 = 10 + -3x
(-9 + -6x) + -2 = 10 + -3x

Reorder the terms:
-9 + -2 + -6x = 10 + -3x

Combine like terms: -9 + -2 = -11
-11 + -6x = 10 + -3x

Solving
-11 + -6x = 10 + -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.
-11 + -6x + 3x = 10 + -3x + 3x

Combine like terms: -6x + 3x = -3x
-11 + -3x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + -3x = 10 + 0
-11 + -3x = 10

Add '11' to each side of the equation.
-11 + 11 + -3x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 10 + 11
-3x = 10 + 11

Combine like terms: 10 + 11 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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