(2x+3)=2(x+3)+x

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


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

Reorder the terms:
(3 + 2x) = 2(x + 3) + x

Remove parenthesis around (3 + 2x)
3 + 2x = 2(x + 3) + x

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

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

Solving
3 + 2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 2x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + -1x = 6 + 0
3 + -1x = 6

Add '-3' to each side of the equation.
3 + -3 + -1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 6 + -3
-1x = 6 + -3

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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