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

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


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

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

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

Combine like terms: 3 + -2 = 1
2 + 6x = 1 + 4x

Solving
2 + 6x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
2 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 2x = 1 + 0
2 + 2x = 1

Add '-2' to each side of the equation.
2 + -2 + 2x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 1 + -2
2x = 1 + -2

Combine like terms: 1 + -2 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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