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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
-5 + 0 = 2x
-5 = 2x

Solving
-5 = 2x

Solving for variable 'x'.

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

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

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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