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

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


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

Reorder the terms:
-2(1 + 3x) + -3 = -3(x + 2) + 2x
(1 * -2 + 3x * -2) + -3 = -3(x + 2) + 2x
(-2 + -6x) + -3 = -3(x + 2) + 2x

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

Combine like terms: -2 + -3 = -5
-5 + -6x = -3(x + 2) + 2x

Reorder the terms:
-5 + -6x = -3(2 + x) + 2x
-5 + -6x = (2 * -3 + x * -3) + 2x
-5 + -6x = (-6 + -3x) + 2x

Combine like terms: -3x + 2x = -1x
-5 + -6x = -6 + -1x

Solving
-5 + -6x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + -6x + x = -6 + -1x + x

Combine like terms: -6x + x = -5x
-5 + -5x = -6 + -1x + x

Combine like terms: -1x + x = 0
-5 + -5x = -6 + 0
-5 + -5x = -6

Add '5' to each side of the equation.
-5 + 5 + -5x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -6 + 5
-5x = -6 + 5

Combine like terms: -6 + 5 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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