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

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


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

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

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

Reorder the terms:
2 + 3 + 4x + -6x = -3

Combine like terms: 2 + 3 = 5
5 + 4x + -6x = -3

Combine like terms: 4x + -6x = -2x
5 + -2x = -3

Solving
5 + -2x = -3

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -2x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -3 + -5
-2x = -3 + -5

Combine like terms: -3 + -5 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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