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

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


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

Reorder the terms:
2(-2 + x) + 3x = -3(2x + 1)
(-2 * 2 + x * 2) + 3x = -3(2x + 1)
(-4 + 2x) + 3x = -3(2x + 1)

Combine like terms: 2x + 3x = 5x
-4 + 5x = -3(2x + 1)

Reorder the terms:
-4 + 5x = -3(1 + 2x)
-4 + 5x = (1 * -3 + 2x * -3)
-4 + 5x = (-3 + -6x)

Solving
-4 + 5x = -3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + 5x + 6x = -3 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-4 + 11x = -3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 11x = -3 + 0
-4 + 11x = -3

Add '4' to each side of the equation.
-4 + 4 + 11x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = -3 + 4
11x = -3 + 4

Combine like terms: -3 + 4 = 1
11x = 1

Divide each side by '11'.
x = 0.09090909091

Simplifying
x = 0.09090909091

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