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

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


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

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

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

Reorder the terms:
-6 + 5x = (3 + 2x)

Remove parenthesis around (3 + 2x)
-6 + 5x = 3 + 2x

Solving
-6 + 5x = 3 + 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.
-6 + 5x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + 3x = 3 + 0
-6 + 3x = 3

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

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

Combine like terms: 3 + 6 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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