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

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


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

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

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

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

Solving
2 + 6x = 3 + 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 = 3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + 2x = 3 + 0
2 + 2x = 3

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

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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