-3(-3x+1)-2x=3(x-2)-3

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Solution for -3(-3x+1)-2x=3(x-2)-3 equation:


Simplifying
-3(-3x + 1) + -2x = 3(x + -2) + -3

Reorder the terms:
-3(1 + -3x) + -2x = 3(x + -2) + -3
(1 * -3 + -3x * -3) + -2x = 3(x + -2) + -3
(-3 + 9x) + -2x = 3(x + -2) + -3

Combine like terms: 9x + -2x = 7x
-3 + 7x = 3(x + -2) + -3

Reorder the terms:
-3 + 7x = 3(-2 + x) + -3
-3 + 7x = (-2 * 3 + x * 3) + -3
-3 + 7x = (-6 + 3x) + -3

Reorder the terms:
-3 + 7x = -6 + -3 + 3x

Combine like terms: -6 + -3 = -9
-3 + 7x = -9 + 3x

Solving
-3 + 7x = -9 + 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.
-3 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-3 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 4x = -9 + 0
-3 + 4x = -9

Add '3' to each side of the equation.
-3 + 3 + 4x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -9 + 3
4x = -9 + 3

Combine like terms: -9 + 3 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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